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

y=2x+3
y=2x-6
y=-2x+3
y=-2x-6

Answer 1

y = 2x - 6

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=(y_(2)-y_(1) )/(x_(2)- x_(1) )`

Plug the points into their respective positions and solve.

`m=(-6-0)/(0-3)\\ m=(-6)/(-3) \\m=2`

The slope is 2.

Your equation is y = 2x - 6.