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Determine the point-slope form of the equation of a line with a slope of −3 passing through the point (−1,4).*5 pointsy-4 = -3(x+1)y-4 = -3(x+2)y-4 = -3(x+3)y-4 = -3(x+4)

Question

Determine the point-slope form of the equation of a line with a slope of −3 passing through the point (−1,4).*5 pointsy-4 = -3(x+1)y-4 = -3(x+2)y-4 = -3(x+3)y-4 = -3(x+4)

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Solution

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Given that the slope m is -3 and the point is (-1,4), we can substitute these values into the equation to get:

y - 4 = -3(x - (-1))

Simplifying the equation gives:

y - 4 = -3(x + 1)

So, the point-slope form of the equation of the line is y - 4 = -3(x + 1). The other options are incorrect because they do not use the correct point (-1,4).

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Similar Questions

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Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify (x1, y1) as (-4, -1).Include your work in your final answer. Type your answer in the box provided to submit your solution.

Find the equation in slope-intercept form for the line passing through the points with the given coordinates. (−2,−3),(1,4)

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