Find the slope of the line shown below.
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- 0. Fundamental Concepts of Algebra3h 32m
- 1. Equations and Inequalities3h 27m
- 2. Graphs1h 43m
- 3. Functions & Graphs2h 17m
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- 7. Measuring Angles40m
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- 23. Intro to Derivatives & Area Under the Curve2h 9m
2. Graphs
Lines
Multiple Choice
In the graph shown, identify the y–intercept & slope. Write the equation of this line in Slope-Intercept form.

A
y=32x+1
B
y=−32x+1
C
y=−2x+1
D
y=x+2
1 Comment
Verified step by step guidance1
Identify the y-intercept of the line by observing where the line crosses the y-axis. In this graph, the line crosses the y-axis at y = 1.
Determine the slope of the line by selecting two points on the line. For example, use the points (0, 1) and (1, -1).
Calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). Substitute the coordinates of the points: m = (-1 - 1) / (1 - 0) = -2.
Write the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Substitute m = -2 and b = 1 into the equation.
The equation of the line is y = -2x + 1.
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