Question

C. Write an equation of the line that contains the given point and has the given slope. Write the equation in slope intercept form: y = mx+b
6. (-2, 2), slope = -5
7. (0, -2), slope = 1

Answer 1

Answer:

Step-by-step explanation:

For the first problem, we can plug in the slope of $-5$ for $m$:

$y = -5x + b$

To solve for $b$, we plug in the given point $(-2, 2)$:

$2 = -5(-2) + b$

$2 = 10 + b$

$b = -8$

This gives us the equation:

$y = -5x -8$

For the second problem, we can plug in the slope of $1$ for $m$:

$y = x + b$

To solve for $b$, we plug in the given point $(0, -2)$:

$-2 = 0 + b$

$b = -2$

This gives us the equation:

$y = x - 2$