Question

What is the equation of the line that passes through the point (2,−4) and has a slope of 2?

Answer 1

Answer:

y = 2x - 8

Step-by-step explanation:

Since you have the slope of the line and point that the line passes through, you can use "point-slope form", hence the name.

Point-slope form is: $y-y_1=m(x-x_1)$

Substitute the slope (2) into m, and substitute the x-value of the point into $x_1$ and the the y-value of the point into $y_1$.

• $y-(-4)=2(x-(2))$

Simplify this equation.

• $y+4=2(x-2)$

Distribute 2 inside the parentheses.

• $y+4=2x-4$

Subtract 4 from both sides.

• $y=2x-8$ is the final answer.