Question

Explain the steps for writing an equation of a line that passes through (4,7) and has a slope of 1/2

Answer 1

The equation would be y = 1/2x + 5

Explanation:

To find this equation, we start by using point slope form, and then plugging the slope in for m and the point in at (x1, y1).

y - y1 = m(x - x1)

y - 7 = 1/2(x - 4)

And now we solve for y.

y - 7 = 1/2(x - 4)

y - 7 = 1/2x - 2

y = 1/2x + 5