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

Find the equation of the line with gradient $-\frac{5}{2}$ passing through $(2,-3)$. Express the answer in the form $Ax + By = C$, where $A, B$ and $C$ are integers.

Determine the equation of the line with gradient $-3$ through the point $(1,-2)$.

Write the equation of the line with gradient $-\frac{2}{3}$ through the point $(3,0)$ in standard form $Ax + By = C$.

Find the equation of the horizontal line passing through $(2,-1)$.

Find the equation of the line with gradient $2.5$ passing through $(4,-1)$.

Determine the equation of the line with gradient $-\frac{1}{4}$ passing through $(8, 2)$.

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

Find the equation in the form $y=mx+c$ for the line with gradient $\frac{1}{2}$ that passes through $(-4, 5)$.

Find the equation of the line with gradient $-4$ passing through $(-2,-3)$.

Determine the equation of the line with gradient $5$ through the point $(0,3)$.

Determine the equation of the line with gradient $\frac{5}{6}$ that passes through $\left(\frac{3}{2},-\frac{7}{4}\right)$, in the form $y = mx + c$.

Find the equation of the straight line with gradient $6$ passing through the point $(2, 4)$.