Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). 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 (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). 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 (0, -3) and (4, 1) into the formula, we get:
m = (1 - (-3)) / (4 - 0) m = 4 / 4 m = 1
Now that we have the slope, we can substitute m, x1, and y1 into the point-slope formula:
y - (-3) = 1(x - 0)
Simplify to get the final answer:
y + 3 = x
So, the point-slope form of the line that passes through the points (0, -3) and (4, 1) is y + 3 = x.
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