Question

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

Answer 1

Start with the point-slope formula: y-k = m(x-h), where (h,k) is the given point and m is the given slope:

y+3 = (1/2)(x-2)

This equation can be rewritten in other forms if desired.

Answer 2

So for this, I will be making the equation using the slope-intercept form, which is y=mx+b (m = slope, b = y-intercept).

Since we have the slope, 1/2, we can just plug in (2,-3) into the equation and solve for b as such:

$-3=\frac{1}{2}*2+b\\ -3=1+b\\ -4=b$

Putting everything together, our equation is y = 1/2x - 4.