Topics
Linear Equations
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India
Class XI

Gradient from Two points

Lesson
Practice

Interactive practice questions

Consider the line shown in the graph with Point A $\left(0,-2\right)$(0,−2) and Point B $\left(3,2\right)$(3,2)

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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).
a

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

b

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

c

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

Consider the line below, where Point A $\left(4,0\right)$(4,0) and Point B $\left(0,16\right)$(0,16) both lie on the line:

Easy
1min
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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.

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