Linear Equations I

Hong Kong

Stage 4 - Stage 5

A line passes through the points $\left(4,-6\right)$(4,−6) and $\left(6,-9\right)$(6,−9).

a

Find the gradient of the line.

b

Find the equation of the line by substituting the gradient and one point into $y-y_1=m\left(x-x_1\right)$`y`−`y`1=`m`(`x`−`x`1).

Easy

Approx 4 minutes

A line passes through the points $\left(-5,1\right)$(−5,1) and $\left(2,-34\right)$(2,−34).

Find the equation of the line which passes through Point A $\left(8,1\right)$(8,1) and Point B $\left(-6,-2\right)$(−6,−2).

Use the two point formula and give your answer in gradient-intercept form.

Use the two point formula to derive the equation of the line that passes through the points $A$`A`$\left(6,5\right)$(6,5) and $B$`B`$\left(-16,11\right)$(−16,11). Give your answer in general form.

Sign up to access Practice Questions

Get full access to our content with a Mathspace account