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.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]
Plug the points into their respective positions and solve.
[tex]m=\frac{-6-0}{0-3}\\ m=\frac{-6}{-3} \\m=2[/tex]
The slope is 2.
Your equation is y = 2x - 6.