Question

Write the equation of the line that passes through the points (−4,1) and (−9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Help plz

Answer 1

y = -4/5x - 11/5

Explanation:

First, find the slope using the slope formula.

`m=(y_1-y_2)/(x_1-x_2)\\\\m=(1-5)/(-4-(-9))\\\\m=-(4)/(5)`

Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.

`y-y_1=m(x-x_1)\\\\y-1=-(4)/(5)(x+4)\\\\y-1=-(4)/(5)x-(16)/(5)\\\\y=-(4)/(5)x-(11)/(5)`

Answer 2

Explanation:

gradient(m)=change in y/change in x

=5-1/-9-(-4)

=4/-9+4

=4/-5

equation now

y-y1=m(x-x1)

y-1=4/-5[x-(-4)]

y=4/-5(x+4)+1

y=-4/5x-16/5+1

y=-4/5x-21/5