Question

Write an equation of the line that passes through the points (1,-4) and (-1,3) in point slope form and then in slope intercept form

Answer 1

point slope form: y-(-4)=-3(x-1)

Slope intercept form: y=-3x-3

Explanation:

Point slope form formula: y-y1= m(x-x1)

(1,-4), (-1,3)

Slope formula x2-x1/ y2-y1

Plug in the information 3-(-4)/-1-1

Simplify: 6/-2 or -3

Use one of the coordinates for the equation: y-(-4)=-3(x-1)

I used the first coordinate.

Slope intercept form formula: y=mx+b

Slope=-3

Plug in information: y= -3x+b

To find b, plug in one of the coordinates.

-4=-1+b, subtract to isolate b

b=-3

Your equation: y=-3x-3

Hope this helps!