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)
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).
Similar Questions
Find the slope of the line passing through the points −−4, 3 and −4, 1.slope: Find the slope of the line passing through the points 3, 3 and −3, 3.slope:
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Problem 1: Find the point-slope form of the equation of a line passing through the point (3,5) with a slope of 2.*5 pointsy-5 = 2(x-3)y-4 = 2(x-3)y-3 = 2(x-3)y-2 = 2(x-3)Problem 2: 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)Problem 3: Find the point-slope form of the equation of a line with a slope of 0.5 passing through the point (2,−3).*5 pointsy+3 = 0.5(x-2)y-3 = 0.5(x-2)y+3 = -0.5(x-2)y+3 = 0.5(x+2)Problem 4: Calculate the point-slope form of the equation of a line passing through the point (4,7) with a slope of −1.*5 pointsy-7 = -x+4y+7 = -x+4y-7 = x-4y+7 = -x-4
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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