Question

Write an equation in point-slope form of the line that passes through the point (−8, −2) and has a slope of m=5

Answer 1

To write the equation in point-slope form, we can use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Step-by-step explanation:

To write an equation in point-slope form, we can use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the given point is (-8, -2) and the slope is 5. Plugging in these values into the formula, we get:

y - (-2) = 5(x - (-8))

Simplifying the equation, we get:

y + 2 = 5(x + 8)

Therefore, the equation in point-slope form of the line that passes through the point (-8, -2) with a slope of 5 is y + 2 = 5(x + 8).

Answer 2

The equation is
`\boxed{y+2=5(x+8)}`.