A line has a gradient of 3 and passes through (-3,3). What is its y intercept? a)0 b)3 c)6 d)9 e)12

Hi, Rebecca.

You can find this on a graph by starting at (-3, 3) and counting up 3, right 1 until you get to the y-axis. (The gradient or slope is the "rise over run.")

You can also find it by using the slope-intercept equation: y = mx + b

Use (-3, 3) for x and y, 3 for m (the slope or gradient), then solve for b, which is the y-intercept.

3 = 3(-3) + b

3 = -9 + b

12 = b

Hope this helps!