Question

(a) Through the point (-4, 0) with a slope of m = 8

Answer 1

The equation of the line passing through the point (-4, 0) with a slope of 8 is y = 8x + 32.

What is the equation of a line?

The equation of a line in point-slope form is given by
`\(y - y_1 = m(x - x_1)\)`, where
`\((x_1, y_1)\)` is a point on the line, and m is the slope.

For the given point (-4, 0) and slope m = 8, the equation would be:

y - 0 = 8(x - (-4))

Simplifying this equation to express it in slope-intercept form:

y - 0 = 8(x + 4)

y - 0 = 8x + 32

Add 0 to both sides:

y = 8x + 32 [this is the equation in slope-intercept form].

Complete Question:

(a) What is the equation of the line that goes through the point (-4, 0) with a slope of m = 8