Question

I'm having trouble with this question from writing linear equations given two points worksheet by Kuta software can you help? question: (-20, -16), (-1, 18)

Answer 1

19y - 34x = 376

Explanation:

We are to write the linear equation of a line passing through the points

(-20, -16), (-1, 18)

Using the points slope form of the equation expressed as;

y-y0 = m(x-x0)

m is the slope

(x0,y0) is any point on the line

m = y2-y1/x2-x1

m = 18-(-16)/-1-(-20)

m = 18+16/-1+20

m = 34/19

Substitute the slope m =34/19 and the point (-1, 18) into the expression given

y- 18 =34/19(x-(-1))

19(y-18) = 34(x+1)

19y - 342 = 34x+34

19y-34x = 34+342

19y - 34x = 376

Hence the required equation is 19y - 34x = 376