(-1,2)(1,2)a. Using variables, write out the formula for the point-slope form of the equation.
b. Determine the slope of the line.
c. Identify the point (-1,-2) as (x1, y1) and write the equation of the line in point-slope form.
Show all work on how you found the slope or determined the slope from the graph. Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.
a. The point-slope form of the equation is y - y1 = m(x - x1), where m is the slope, x1 and y1 are the coordinates of a point on the line.
b. To determine the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given two points (-1, 2) and (1, 2), we can substitute the coordinates into the formula:
m = (2 - 2) / (1 - (-1))
m = 0 / 2
m = 0
Therefore, the slope of the line is 0.
c. With the point (-1, -2) as (x1, y1) and the slope m = 0, we can write the equation of the line in point-slope form:
y - (-2) = 0(x - (-1))
y + 2 = 0(x + 1)
y + 2 = 0x + 0
y + 2 = 0
y = -2
Therefore, the equation of the line in point-slope form is y = -2.