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.
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.