3.3E: Exercises

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Practice Makes Perfect

Slope of Line by Picture

In the following exercises, find the slope of each line shown.

$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 6 to 6. The y-axis runs from negative 6 to 6. The line goes through the points (0, 0) and (1, negative 3).$
$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 6 to 6. The y-axis runs from negative 6 to 6. The line goes through the points (negative 4, 0) and (0, 4).$
$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 6 to 6. The y-axis runs from negative 6 to 6. The line goes through the points (negative 4, negative 4) and (2, negative 2).$
$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 6 to 6. The y-axis runs from negative 6 to 6. The line goes through the points (1, 4) and (5, 2).$

Answer

-3
1
$\frac{1}{3}$
$\frac{1}{2}$

Find the Slope Given Two Points

In the following exercises, use the slope formula to find the slope of the line between each pair of points.

$(−1,−1),(0,5)$
$(3,5),(4,−1)$
$(−5,−2),(3,2)$
$(2,1),(4,6)$

Answer

6
-6
$\frac{1}{2}$
$\frac{5}{2}$

Graph a line

In the following exercises, graph each line given the following information.

$(−3,4);\space m=−\frac{1}{3}$
$y$-intercept $1; m=−\frac{3}{4}$
$y=−x−1$
$4x−3y=12$

Answer

$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 8 to 8. The y-axis runs from negative 8 to 8. The line goes through the points (negative 3, 4) and (0, 3).$
$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 8 to 8. The y-axis runs from negative 8 to 8. The line goes through the points (0, 1) and (4, negative 2).$
$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 10 to 10. The y-axis runs from negative 10 to 10. The line goes through the points (0, negative 1) and (1, negative 2).$
$This figure shows the graph of a straight line on the x y-coordinate plane. The x-axis runs from negative 10 to 10. The y-axis runs from negative 10 to 10. The line goes through the points (0, negative 4) and (3, 0).$

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Slope of Line by Picture

Find the Slope Given Two Points

Graph a line