Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
a. Using variables, write out the formula for the point-slope form of the equation.
b. Determine the slope of the line.
c. Write the point-slope form of the line.
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)
where (x1, y1) are the coordinates of a point on the line and m is the slope of the line.
b. To find the slope of the line passing through the points (6, -9) and (7, 1), we can use the formula:
m = (y2 - y1)/(x2 - x1)
Plugging in the coordinates, we have:
m = (1 - (-9))/(7 - 6)
= (1 + 9)/(7 - 6)
= 10/1
= 10
So the slope of the line is 10.
c. Since we have the slope (m = 10) and one of the points on the line (6, -9), we can plug these values into the point-slope form of the equation:
y - (-9) = 10(x - 6)
y + 9 = 10x - 60
So the point-slope form of the equation of the line passing through the points (6, -9) and (7, 1) is:
y + 9 = 10x - 60