SOLUTION: Find equation of the line with points m=6/7 (4,-3)

Question 224329: Find equation of the line with points m=6/7 (4,-3)
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Find equation of the line with points m=6/7 (4,-3)

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point(0,b).

Step 2. The slope m is given as

Step 3. Let (x1,y1)=(4, -3) or x1=4 and y1=-3 . Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 4. Now we're given the slope . Substituting above values and variables in the slope equation m yields the following steps:

Step 5. Multiply x-4 to both sides to get rid of denominator on right side of equation.

Step 6. Now subtract 3 from both sides of equation to solve for y.

Note: the above equation can be rewritten as

And the graph is shown below which is consistent with the above steps.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 45/6 = 7.5.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 45/-7 = -6.42857142857143.
Slope is -6/-7 = 0.857142857142857.
Equation in slope-intercept form: y=0.857142857142857*x+-6.42857142857143.

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

RELATED QUESTIONS
what is the equation of the line with the given points (-1,-6) and... (answered by mananth)

7. Find the slope of a line that is parallel to the line containing the points (3, 4)... (answered by josgarithmetic)

Find an equation of the line containing the given points (-7,-8)and... (answered by jim_thompson5910,Ave)

Find the equation of the line containing the give points (-3,-5)... (answered by ewatrrr)

Find the standard form of the equation of the line with slope 7 passing through the... (answered by rosey51235)

find the equation of the line, slope-intercept form, that contains the points: 1. (1,... (answered by josgarithmetic)

Find an equation of the line passing through the point (7, 6) with slope m =... (answered by stanbon)

1.What is the slope of the line with equation y=2x+3? 2.FInd the slope of the line... (answered by lynnlo)

Find the slope (m) of a line that passes through the following points. (m = - 1/7) (4,... (answered by josmiceli)