Question

A line has an c intercept of 3 and a y intercept of negative 6. What is the slope intercept form of it’s equation

Answer 1

Answer:

y = 2x - 6

Step-by-step explanation:

Slope-intercept form is  y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept is already given and is -6.

By c intercept, I am assuming you meant x-intercept.  With an x-intercept of 3, the point is (3,0).  With a y-intercept of -6, the point is (0,-6).

Use the two points to find the slope using the following equation.

$m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Plug the points into their respective positions and solve.

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

The slope is 2.

Your equation is  y = 2x - 6.