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Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form. Choose the equation of the line. y = 2x – 7 y = 2x + 11 y = –4x + 14 y = 3x +14

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The equation of line that has a slope of 2 and passes through the point (–4, 3) is: y = 2x+11

Step-by-step explanation:

Given

Slope = m = 2

Point = (-4,3)

The point slope form is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Putting the values

[tex]y-3 = 2 (x - (-4))\\y-3 = 2 (x+4)\\y-3 = 2x+8\\y = 2x+8+3\\y = 2x+11[/tex]

Hence

The equation of line that has a slope of 2 and passes through the point (–4, 3) is: y = 2x+11

Keywords: Point-slope form, slope

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Answer:y=2x+11

Step-by-step explanation: