11.2 Gradient and intercept: y = mx + c — Practise

Work independently in order. The later questions mix this section with earlier methods. Questions marked H are Higher only.

1. Find the gradient between $(1,2)$ and $(4,11)$.
2. State the gradient and $y$-intercept of $y=4x-3$.
3. A straight line through $(0,0)$ and $(3,12)$ has what gradient?
4. For $y=-2x+5$, find $y$ when $x=-1,0,2$.
5. Find the gradient between $(-2,7)$ and $(2,-1)$.
6. State the $y$-intercept of $y=0.5x+6$ and where the line crosses the vertical axis.
7. A line has gradient 3 and intercept -2. Write its equation.
8. Does $(4,9)$ lie on $y=2x+1$?
9. A tank contains 12 litres initially and gains 3 litres each minute. Write $V$ in terms of minutes $t$.
10. H Find the gradient of the line through $(1,2.5)$ and $(5,0.5)$.