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Find an equation of the line. Slope 5; through (-8,7) The equation of the line is

A) y = 5x + 47
B) y = 5x - 47
C) y = -5x + 47
D) y = -5x - 47

1 Answer

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Final answer:

Using the point-slope form, the equation of the line with a slope of 5 and passing through the point (-8,7) is found to be y = 5x + 47. Option A is the correct answer. option (A)

Step-by-step explanation:

To find the equation of the line with a given slope and that passes through a specific point, we use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

Here, m represents the slope, and (x1, y1) represents the point the line passes through. For the slope of 5 and the point (-8,7), the equation becomes:

y - 7 = 5(x + 8)

Simplify the equation to get the slope-intercept form:

y = 5x + 40 + 7

y = 5x + 47

Therefore, the correct equation of the line is A) y = 5x + 47.

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