Question

Write the equation in standard form of the line through the point (4,-5) with a slope of -2/5.

Answer 1

\[y-y_1=m(x-x1)\]

Answer 2

a point on the line (x1, y1), and the slope is m

Answer 3

y=mx+b
-5=(-2/5)(4)+b
solve for b

Answer 4

-5=-8/5 +b

what do I do next?

Answer 5

@quentinloy

Answer 6

so you would add 8/5 to both sides to solve for b; then you would write the equation as y=(-2/5)x-(17/5)

Answer 7

I thought that when y is by itself it is slope intercept form?

Answer 8

@quentinloy

Answer 9

oh, you're right. I'm sorry. so you would add (2/5)x to both sides. (2/5)x+y=(-17/5)

Answer 10

\[(2/5)x+y=(-17/5)\]