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

(-4,6);m=3/4 (1 point)

y-6=3/4x+4

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

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

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

no

remember it is
y - y1 = m(x-x1)

so for (-4,6)
y-6 = (2/4)(x - (-4) )
y - 6 = (3/4)(x + 4)

Ok, thank you~!

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

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

To write an equation in point-slope form, we use the formula:

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 given slope is 3/4.

Substituting the values into the formula, we get:

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.