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

(-4,6); m=3/4

1 answer

The point-slope form of a linear equation is given by:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the given slope.

In this case, the given point is (-4, 6) and the slope is 3/4. Plugging these values into the equation, we have:

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

Simplifying further:

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

This is the equation in point-slope form for the line through the point (-4, 6) with a slope of 3/4.