Write an equation in point -slope form for the line through the given point with the given slope. (-4,6) m=(3)/(4)
The point-slope form of a linear equation is given by 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 (-4, 6) and the slope is 3/4.
Substituting these values into the point-slope form 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 given point with the given slope.