A gray diagonal line sloping downward from the top left to the bottom right is plotted on a coordinate plane. Three labeled points on the line are marked by a shaded circle: point $A$A is at $\left(-3,7\right)$(−3,7), point $B$B is at $\left(0,1\right)$(0,1), and point $C$C is at $\left(3,-5\right)$(3,−5). A vertical line extends downward from point $A$A intersecting the left endpoint of the lower horizontal line connected to point $C$C. Another horizontal line from point $B$B is positioned above the lower horizontal line where its left endpoint intersects the vertical line. The coordinates of these points are not explicitly labeled nor stated in this problem.

Complete the directions that explain how to move from point $A$A to point $B$B.

From $A$A, move $\editable{}$ units down and $\editable{}$ units to the right.

Now express this direction of movement as a simplified ratio, comparing vertical movement to horizontal movement.

$\editable{}:\editable{}$:

Complete the directions that explain how to move from point $A$A to point $C$C.

From $A$A, move $\editable{}$ units down and $\editable{}$ units to the right.

Again, express this direction of the movement as a simplified ratio, comparing vertical movement to horizontal movement.

$\editable{}:\editable{}$:

Therefore state the slope of the line, in simplified form.

Easy

3min

State the slope and $y$y-value of the $y$y-intercept of the equation, $y=2+10x$y=2+10x.

Easy

< 1min

State the slope and $y$y-value of the $y$y-intercept of the equation, $y=-2x$y=−2x.

Easy

< 1min

What kind of slope does the following line have?

Easy

< 1min

Outcomes

8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

4.04 Identify slope and describe lines

Interactive practice questions

Outcomes

8.EE.B.6

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