a. The formula for the point-slope form of the equation is:
y - y1 = m(x - x1)
b. To find the slope of the line, we use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the points (0, -3) and (4, 1) into the formula:
m = (1 - (-3)) / (4 - 0)
= 4 / 4
= 1
Therefore, the slope of the line is 1.
c. By identifying (0, -3) as (x1, y1), we have x1 = 0 and y1 = -3.
d. Now we can write the point-slope form of the line using the slope (m = 1) and the point (0, -3):
y - (-3) = 1(x - 0)
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.
Follow the steps below to write the point-slope form of the given line that passes through the points (0,-3) and (4,1).
a. Using variables, write out the formula for the point-slope form of the equation.
b. Determine the slope of the line.
c. Identify (0, -3) as (x1, y1).
d. Write the point-slope form of the line that passes through the points (0, -3) and (4, 1).
Show all work on how you found the slope. Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.
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