Slope-Intercept Form — Quiz

Question 1 • Mathematics 8

Carey correctly graphs a linear function. The slope of the function is negative 1 The y -intercept is 3 Which is Carey’s graph?

Answer

Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 in increments of 1. A straight line passes through the points (negative 1 comma negative 4), (0 comma negative 1) and (1 comma 2).

Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 in increments of 1. A straight line passes through the points (negative 1 comma 2), (0 comma negative 1) and (1 comma negative 4).

Image with description A four-quadrant graph has an x-axis that goes from negative 5 to 5 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (negative 3 comma 0) and (0 comma 3).

Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 in increments of 1. A straight line passes through the points (0 comma 3) and (3 comma 0).

Explanation

A y-intercept of 3 means the graph passes through (0, 3). With slope −1, the line goes down 1 unit for every 1 unit it moves right, so it also passes through (3, 0). Choice D shows these points and has the required slope.

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