SOLUTION: Graph the following equation? calculate the slope, x-intercept, y-intercept and label the intercepts on the graph. y = x + 3

Algebra ->  Linear-equations -> SOLUTION: Graph the following equation? calculate the slope, x-intercept, y-intercept and label the intercepts on the graph. y = x + 3      Log On


   

Question 197067This question is from textbook
: Graph the following equation? calculate the slope, x-intercept, y-intercept and label the intercepts on the graph. y = x + 3 This question is from textbook

Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2B3%29
y=x+3 is in intercept form y=mx+b where m is the slope and b is the y intercept
:
so m(slope)=1.....y intercept is 3: which is coordinate (0,3)
:
x intercept is found by setting y equal to zero
:
0=x+3--->x=-3.....coordinate (-3,0) is x intercept

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Pick a value, any value, for x and substitute this value for x in your equation.

Step 2: Calculate the value of y for the selected value of x.

Step 3: Create an ordered pair (x,y) using the selected and calculated values from steps 1 and 2.

Step 4: Plot the point represented by your ordered pair on your graph.

Step 5: Repeat steps 1 through 4 using a different value for x.

Step 6: Draw a straight line all the way across your graph through the two plotted points.

Your equation is already in slope-intercept form, namely:



where is the slope and is the y-coordinate of the x-intercept.

The slope is the value of the coefficient on x. In this case, since there is no specific coefficient shown, the coefficient is understood to be 1.

The x-intercept is the point (0,b)

The y-intercept is the point (a,0) where a is the value of x that makes y = 0, so:




John