Question

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

a y = 1/2 + 3
b y = 1/2 - 3
c y = 2 + 1/2
d y = 2 - 1/2

Answer 1

Answer:
`y = (1)/(2)x +3` (Choice A)

Work Shown:

`y - y_1 = m(x - x_1)\\\\y - 4 = (1)/(2)(x - 2)\\\\y - 4 = (1)/(2)x + (1)/(2)(- 2)\\\\y - 4 = (1)/(2)x - 1\\\\y = (1)/(2)x - 1+4\\\\y = (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