Question

Write an equation of a line that passes through the points (4,2) and (-4,-10) ​

Answer 1

`y= (3)/(2)x -4`

Explanation:

To write the equation of a line, use the slope formula to first find the slope.

`m=(y_2-y_1)/(x_2-x_1)=(2--10)/(4--4)=(2+10)/(4+4)=(12)/(8)=(3)/(2)`

Substitute m=3/2 and the point (4,2) into Point Slope formula.

`y-y_1 = m(x-x_1)\\y-2=(3)/(2)(x-4)\\y-2=(3)/(2)x -(3)/(2)*4\\y-2 = (3)/(2)x-6\\y= (3)/(2)x -4`