Question

Write a linear equation that goes through the points (0,4) and (4,10). A. y =3⁄2x + 4 B. y =3⁄2x – 4 C. y =2⁄3x – 4 D. y =2⁄3x + 4

Answer 1

A

Explanation:

To write the equation, find the slope of the line using the two points. Find the difference in y values over the difference in x values.

`(y_2-y_1)/(x_2-x_1) = (10-4)/(4-0)=(6)/(4)=(3)/(2)`

Write the equation using the slope m=3/2 and the point slope form.

`y-y_1=m(x-x_1)\\y-10=(3)/(2)(x-4)`

This is the equation of the line. You can convert it to slope intercept form:

`y-10=(3)/(2)(x-4)\\y-10 = (3)/(2)x - 6\\y=(3)/(2)x +4`