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

Answer:

A

Step-by-step 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.

$\frac{y_2-y_1}{x_2-x_1} = \frac{10-4}{4-0}=\frac{6}{4}=\frac{3}{2}$

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

$y-y_1=m(x-x_1)\\y-10=\frac{3}{2}(x-4)$

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

$y-10=\frac{3}{2}(x-4)\\y-10 = \frac{3}{2}x - 6\\y=\frac{3}{2}x +4$