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Eagle Connection Practice Test

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If a line has slope 4 and passes through (0, -2), what is its equation in slope-intercept form?
Correct Answer:
y = 4x - 2
Explanation:
In slope-intercept form, a line is written as y = mx + b, where m is the slope and b is the y-intercept. Here, the slope is 4, so start with y = 4x + b. The line passes through (0, -2), and when x = 0, y = -2, which means -2 = 4(0) + b, so b = -2. Therefore, the equation is y = 4x - 2. If you tried a different intercept or slope, the line wouldn’t pass through the given point, so this form satisfies both the slope and the point.

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