Question

Write an equation of the line that passes through the given points
(-2,9) and(1,-3)

Answer 1

Y=-4x+1 is the answer

Answer 2

Y = -4x + 1

Explanation:

1. We know the equation of a line is y=mx+b.

2. using the slope formula,
`(y_(2)-y_(1) )/(x_(2)-x_(1))`, to find the slope. -12 / 3 = -4, so the slope is -4.

3. we need to find the Y intercept, or the Y coordinate at X=0. if at x=1 the Y is -3, and the slope is -4, then if we go down to x=0 then the Y would be 4 higher. therefore the Y intercept is 1.

4. now we can make the equation; Y = -4x + 1