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.
Question
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.
Solution
The point-slope form of a line is given by the formula:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
First, we need to find the slope (m) of the line. The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given points (-4, -1) and (3, -3) into the formula, we get:
m = (-3 - (-1)) / (3 - (-4)) = -2 / 7
So, the slope of the line is -2/7.
Now, we can substitute the slope and the point (-4, -1) into the point-slope form:
y - (-1) = -2/7(x - (-4))
Simplify to get the final answer:
y + 1 = -2/7(x + 4)
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