Question

The points (4,0) and (7,6) lie on a particular line. What is its equation in slope-intercept form of this line?

Answer 1

Answer:

y=2x-8

Step-by-step explanation:

To write the equation in slope intercept form y=mx+b you need a slope and the y-intercept. We will calculate the slope and then substitute it and a point into the point slope form $y-y_1=m(x-x_1)$. Simplifying this form will result in slope intercept form.

Calculate the slope by subtracting the y values and x values of the points.

$m=\frac{6-0}{7-4} = \frac{6}{3}=2$

The slope is 2. Choose one point to use the slope with in the point slope form. Then substitute and simplify.

$y-0 = 2(x-4)\\y=2x-8$