The equation we look for must have a slope that is the inverse reciprocal of -4. The inverse reciprocal always leads to -1 when multiplied by the given slope.
Let's see: -4(1/4) = -1.
Yep. The slope of the equation we need to find is 1/4.
Use the point-slope formula to find your equation.
Point-slope: y - y_1 = m(x - x_1), where m is the slope, y_1 is the y-coordinate of the given point and x is the x-coordinate of the given point.
We now plug, chug and isolate y.
Ready?
y - 10 = (1/4)(x - 4)
y - 10 = (1/4)x -1
y = (1/4)x - 1 + 10
Your equation is y = (1/4)x + 9.
Did you understand?
