Write an equation in slope-intercept form for the line that has a y-intercept 7 and is parallel to the graph of the line Y=-2x+4

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21-04-2020
Mathematics

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Write an equation in slope-intercept form for the line that has a y-intercept 7 and is parallel to the graph of the line Y=-2x+4

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choccocakee choccocakee · Answer 1 · 2020-04-21T13:30:48+02:00

Answer: y=-2x+7

Step by step explanation: Generally, equations take the form of y=mx+b
Where m is the gradient and b is the point at which the line intercepts the y axis. Also, parallel lines have the exact same gradient.

So we have given information, where the gradient of the line is -2 (because both lines are parallel) and that the y intercept of the line is 7

So, with the form of y=mx+b, we substitute this information in so that our answer becomes y=-2+7