#3 Write the equation of a line that passes through the points (-4, -5) and (4, 1).
A. y = 2x + 13
B. y = \frac{3}{4}x - 2
C. y = -2x + \frac{3}{4}
D. y = -\frac{3}{4}x + 4

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#3 Write the equation of a line that passes through the points (-4, -5) and (4, 1). A. y = 2x + 13 B. y = \frac{3}{4}x - 2 C. y = -2x + \frac{3}{4} D. y = -\frac{3}{4}x + 4

SnapAndSolve AI · Accepted Answer

To find the equation of the line passing through the points (-4, -5) and (4, 1), we first calculate the slope (m):

Slope (m) = (y2 - y1) / (x2 - x1) = (1 - (-5)) / (4 - (-4)) = 6 / 8 = 3/4

Now, use the point-slope form of the equation y - y1 = m(x - x1) with one of the points, say (-4, -5):

y + 5 = (3/4)(x + 4)

y + 5 = (3/4)x + 3

y = (3/4)x - 2

The correct equation is B. y = \frac{3}{4}x - 2

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#3 Write the equation of a line that passes through the points (-4, -5) and (4, 1). A. y = 2x + 13 B. y =...

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