Question

Write an equation in point-slope form for the line through the given point with the given slope.

(–4, 6); m = three-fourths

Answer 1

[AI-generated answer — Bot GPT 3.5]

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

In this case, the given point is (-4, 6) and the given slope is three-fourths. Plugging these values into the equation, we get:

y - 6 = (3/4)(x - (-4))
y - 6 = (3/4)(x + 4)
y - 6 = (3/4)x + (3/4)(4)
y - 6 = (3/4)x + 3

So, the equation in point-slope form for the line through the given point with the given slope is y - 6 = (3/4)x + 3.