Question

Which is an equation of the line that has a slope of 1/2 and passes through the point (2, 4)?

Answer 1

Answer:  $y = \frac{1}{2}x +3$  (Choice A)

Work Shown:

$y - y_1 = m(x - x_1)\\\\y - 4 = \frac{1}{2}(x - 2)\\\\y - 4 = \frac{1}{2}x + \frac{1}{2}(- 2)\\\\y - 4 = \frac{1}{2}x - 1\\\\y = \frac{1}{2}x - 1+4\\\\y = \frac{1}{2}x +3$

Explanation: I started with the point-slope form. Then I plugged in the given slope m = 1/2 and the point (x1,y1) = (2,4). Afterward I solved for y.

The answer is in slope-intercept form y = mx+b