Question

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

y=-1/2x+

Answer 1

Hello!

So the equation that you want to use is
y = mx + b

Now you can plug in both the slope and your points to find b.

3 = -1/2(2) + b
3 = -1 + b
4 = b

So now that we've found b, we can use the original equation and only plug in the slope and b

y = -1/2x + 4

So to find the y-intercept, we need to plug in 0 for x

y = -1/2(0) + 4
y = 0 + 4
y = 4

Your y-intercept is (0,4)

Hope this helps!