Open Question
In Exercises 67–72, use intercepts to graph each equation. 6x-3y+15=0
2. Graphs of Equations
Lines
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Find the slope of the line shown below.
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Verified step by step guidance1
Identify two points on the line. For example, you can choose the points (-3, -4) and (3, 2) from the graph.
Use the formula for the slope of a line, which is \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
Substitute the coordinates of the points into the slope formula: \( m = \frac{2 - (-4)}{3 - (-3)} \).
Simplify the expression in the numerator: \( 2 - (-4) = 2 + 4 = 6 \).
Simplify the expression in the denominator: \( 3 - (-3) = 3 + 3 = 6 \).
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