Question Type 2: Finding the equation of a straight line using a point and a gradient Exercises

Determine the linear equation for the line through $(-2,3)$ with gradient $7$.

Find the equation of the line passing through the point $(1,2)$ with gradient $3$, in the form $y = mx + c$.

Find the equation of the line passing through $(3,2)$ with gradient $-\frac{2}{3}$.

Write the equation of the line through $(5,-3)$ with gradient $\frac{4}{5}$.

Find the equation of the line through $(1,1)$ with gradient $-1$.

Determine the equation of the line through the origin with gradient $5$.

Determine the equation of the line passing through $(2.5,-1)$ with gradient $2$.

Find the equation of the line passing through $(4,1)$ with gradient $\frac{1}{2}$.

Determine the equation of the line through $(2,4)$ with gradient $6$.

Find the equation of the line through $(-3,-2)$ with gradient $-\frac{3}{4}$.

Write down the equation of the horizontal line through $(3,-2)$ (gradient $0$).

Find the equation of the line through $(-1,5)$ with gradient $-2$.