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for each of the following questions, identify the slope and the y -intercept and then sketch a graph of the line. m=-2 a) y=3x-4 m=3

Question

For each of the following questions, identify the slope and the y -intercept and then sketch a graph of the line. m=-2 a) y=3x-4 m=3 b=3 b) y=-2x+3

Solution

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Answer

a) Slope: 3; y-intercept: -4 b) Slope: -2; y-intercept: 3

Explanation

For any linear equation in the format of y = mx + b, 'm' refers to the slope of the line and 'b' refers to the y-intercept - in other words, where the line intersects the y-axis.a) In the equation y=3x-4, the slope is 3 and the y-intercept is -4.b) Likewise, in the equation y=-2x+3, the slope is -2 and the y-intercept is 3.As was asked, you can henceforth sketch the line on the graph using this information.