Write the point-slope form of the equation of the line with a slope of -2 and an x-intercept of -1.
a. Using variables, write out the formula for the point-slope form of the equation.
b. Identify the values for m, x1, and y1.
c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.
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) is a point on the line and m is the slope.
b. Given that the slope is -2 and the x-intercept is -1, we can find the x-coordinate of the point (x1, y1). The x-intercept is the point where the line crosses the x-axis, so the y-coordinate of this point would be 0. Therefore, the point is (-1, 0).
So, x1 = -1 and y1 = 0.
c. Substituting the values into the point-slope form equation:
y - 0 = -2(x - (-1))
y = -2(x + 1)
Simplifying the equation:
y = -2x - 2
Thus, the point-slope form of the equation of the line with a slope of -2 and an x-intercept of -1 is y = -2x - 2.