# Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 116250: Which of the ordered pairs (0, 0), (–2, 10), (–1, –5), (–3, 9) are solutions for the equation y = 5x? Click here to see answer by jim_thompson5910(28715)

 Question 116265: Solve by graphing: x^2+y^2=25 and x-2y=-5 I graphed my circle and line perfectly but when it came to using either addition or substitution methods to find the solution set (where the line crosses the circle at two points) I had problems:( I can see by looking at my graph that one solution is (-5,0) and the other is approximately (3.5, 4.5) but I have to use one of the above methods to show how I came up with my solutions and show my work. This is what I've done so far: Using substitution method x^2+y^2=25 and x-2y=-5 (changed to x=2y-5) and substituted in to 1st equation (2y-5)^2+y^2=25 4y^2-20y+25+y^2=25 (combine like terms) 5y^2-20y+25=25 (subtract 25 from each side) 5y^2-20y=0 This is where I loose it, because in class all of our problems worked out nice and neat and all I had to do was factor my quadratic equation to come up with one solution and then plug that into one of my original problems to get my second. No one in study group tonight quite got this one either and this is due this Thursday! Click here to see answer by stanbon(57967)
 Question 116265: Solve by graphing: x^2+y^2=25 and x-2y=-5 I graphed my circle and line perfectly but when it came to using either addition or substitution methods to find the solution set (where the line crosses the circle at two points) I had problems:( I can see by looking at my graph that one solution is (-5,0) and the other is approximately (3.5, 4.5) but I have to use one of the above methods to show how I came up with my solutions and show my work. This is what I've done so far: Using substitution method x^2+y^2=25 and x-2y=-5 (changed to x=2y-5) and substituted in to 1st equation (2y-5)^2+y^2=25 4y^2-20y+25+y^2=25 (combine like terms) 5y^2-20y+25=25 (subtract 25 from each side) 5y^2-20y=0 This is where I loose it, because in class all of our problems worked out nice and neat and all I had to do was factor my quadratic equation to come up with one solution and then plug that into one of my original problems to get my second. No one in study group tonight quite got this one either and this is due this Thursday! Click here to see answer by bucky(2189)

 Question 116417: i want to know how to find the slpoe and the y-intercept of the graph of the equation. #18.3x+4y=16 Click here to see answer by checkley71(8403)
 Question 116417: i want to know how to find the slpoe and the y-intercept of the graph of the equation. #18.3x+4y=16 Click here to see answer by Fombitz(13828)

 Question 116436: Write the equation of the line that passes through point (–1, 11) with a slope of –5. Click here to see answer by heidi(17)

 Question 116433: Find the slope of the line passing through the points (8, 2) and (10, –2) Click here to see answer by stanbon(57967)

 Question 116435: Find the slope of any line parallel to the line through points (8, 6) and (7, 7). Click here to see answer by checkley71(8403)

 Question 116434: Find the slope and the y-intercept. y = –4x – 9 Click here to see answer by checkley71(8403)

 Question 116442: I Need help with understanding the Bondary line of a graph. Like for this problem -x+4y<-4. Also, when you have a fraction like 2/3 you go up 2, but how do you know to go left or right? HELP ASAP! Click here to see answer by stanbon(57967)

 Question 116555: Solve the system by substitution. 3x – y = –7, x + y = –9 Click here to see answer by jgr45(22)

 Question 116554: Solve the system by addition. –4x – 7y = –1, x – 3y = 5 Click here to see answer by jim_thompson5910(28715)

 Question 116556: Solve the following system of linear inequalities by graphing. x – 2y < 4, x > 1 Click here to see answer by jim_thompson5910(28715)

 Question 116553: Solve the system by graphing. x – 2y = 8, x + y = –1 Click here to see answer by jim_thompson5910(28715)

 Question 116646: 4/3R - 3 < R + 2/3 - 1/3R Click here to see answer by checkley71(8403)

 Question 116668: Graph the equation 3y-6=-9x by makin an input-output table Click here to see answer by MathLover1(6812)

 Question 116727: 17 -(4k - 2) > 2 (k + 3) Click here to see answer by checkley71(8403)
 Question 116727: 17 -(4k - 2) > 2 (k + 3) Click here to see answer by jim_thompson5910(28715)
 Question 116727: 17 -(4k - 2) > 2 (k + 3) Click here to see answer by bucky(2189)

 Question 116695: 4( a - 2) - 6a < -9 - Click here to see answer by jim_thompson5910(28715)

 Question 116781: graph y is equeal to or more than 2 Click here to see answer by jim_thompson5910(28715)

 Question 116801: consider the function: f(x)= x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola. Click here to see answer by bucky(2189)

 Question 116834: Solve the system by graphing, x + y = 3, x + y = –1 Click here to see answer by solver91311(17077)

 Question 116851: Graph the inequality. x <= -2 If you could help me through all the steps. In particular I do not understand how to show these graphs. Click here to see answer by MathLover1(6812)

 Question 116867: Use the slope-intercept form of the linear equation of the with given slope and y-intercept Slope 3/4; y-intercept (0,2) Click here to see answer by stanbon(57967)

 Question 116865: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept. Slope -2/5; y-intercept (0,4) Click here to see answer by bucky(2189)

 Question 116860: Find the slope of the line that goes through the given points. (-8,-9) and (-11,-16) Click here to see answer by jim_thompson5910(28715)

 Question 117001: Solve by graphing. 2x + y = 5 3x - y = 10 Click here to see answer by jim_thompson5910(28715)

 Question 117000: Solve by graphing. 3x + 2y = 8 6x + 4y = 16 Click here to see answer by jim_thompson5910(28715)

 Question 116998: Solve by graphing. 3x + y = 5 -2x + 3y = 4 Click here to see answer by jim_thompson5910(28715)