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

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

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

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

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

Find the equation in the form $y=mx+c$ for the line with gradient $\tfrac12$ that passes through $(-4,5)$.

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

Determine the equation of the line with gradient $-\tfrac14$ passing through $(8,2)$.

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

Write the equation of the line with gradient $-\tfrac52$ through $(2,-3)$ in the form $Ax + By = C$.

Write the equation of the line with gradient $-\tfrac23$ through the point $(3,0)$ in standard form $Ax + By = C$.

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

Determine the equation in simplest form of the line with gradient $\tfrac56$ that passes through $(\tfrac32,-\tfrac74)$.