SOLUTION: Find equation of line passing through the point (5,-2) and (-3,4) I got the answer y=(-3/4)x+7/4 but I don't know how Please show me step by step to get the answer. thanks

Question 451697: Find equation of line passing through the point (5,-2) and (-3,4)
I got the answer y=(-3/4)x+7/4 but I don't know how
Please show me step by step to get the answer. thanks
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find equation of line passing through the point (5,-2) and (-3,4)
.
First, find the slope:
m = (y2-y1)/(x2-x1)
m = (4-(-2))/(-3-5)
m = (4+2)/(-3-5)
m = (6)/(-8)
m = -3/4
.
Next, use one of the two given points (5, -2) and the slope above -- plug it into the "point-slope" form:
y - y1 = m(x - x1)
y - (-2) = (-3/4)(x - 5)
y + 2 = (-3/4)x + 15/4
y = (-3/4)x + 15/4 - 2
y = (-3/4)x + 15/4 - 8/4
y = (-3/4)x + 7/4
.
So, YES, you are correct!

RELATED QUESTIONS
I've worked these problems over and over and can't seem to find the proper answer. 1.... (answered by stanbon)

Simplify |-3+4 x-2| the answer key says 11 but i don't know how that's the... (answered by Solver92311,ikleyn)

Thank you for helping me! I need to make a scatter plot of the data and find the... (answered by ikleyn,math_tutor2020)

The equation of a line perpendicular to the given line but passing through the given... (answered by KMST)

Find the equation of the line through the point (5,0) and perpendicular to the line... (answered by Alan3354,ikleyn)

6, 3 3/4, 2 1/4, 1 1/4, 3/4, 3/4, _____ answer key shows that the answer is 0, but I... (answered by greenestamps)

Please help with question with steps to work through problem. Find an equation of the... (answered by lwsshak3)

What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)

I have tried solving four homework problems like this for hours but I just don't know... (answered by DrBeeee)