Question

Which equation represents a line that passes through (2,-1/2) and has a slope of 3?

y-2 = 3(x + 1)
y-3= 2x+5
y+ 4 = 3(x-2)
y+ 1 = 2(x - 3)

Answer 1

Explanation:

Since both a point on this new line and the slope of the line are given, we use the "point-slope equation of a straight line," that is, y - k = m(x - h).

Here we are told that the point is (2, -1/2), so h = 2 and k = -1/2.

The slope, m, is 3. Thus,

y - k = m(x - k) becomes y + 1/2 = 3(x - 2)

Check: does the point (2, -1/2) satisfy this equation?

Is -1/2 + 1/2 = 3(2 - 2)? Yes. So this equation must be correct. Please ensure that you have copied down all of the possible answers correctly.