A line is graphed in the Cartesian coordinate plane with a positive slope. This line passes through points $\left(0,-2\right)$(0,−2) and $\left(3,2\right)$(3,2).

Find the rise (change in the $y$y value) between point A and B. Note: Ensure you have the correct sign.

Find the run (change in the $x$x value) between point A and B. Note: Ensure you have the correct sign.

Find the gradient of the line.

Easy

1min

Consider the line containing Point $A$A $\left(0,4\right)$(0,4) and Point $B$B $\left(1,0\right)$(1,0)

Easy

1min

What is the gradient of the line shown in the graph, given that Point A $\left(3,3\right)$(3,3) and Point B $\left(6,5\right)$(6,5) both lie on the line?

Easy

1min

What is the gradient of the line shown given that Point A $\left(-5,0\right)$(−5,0) and Point B $\left(0,1\right)$(0,1) both lie on the line.

Easy

< 1min

Outcomes

11.CG.SL.1

Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axes, point-slope form, slope-intercept form, two-point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.

Calculating Gradients

Interactive practice questions

Outcomes

11.CG.SL.1

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