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.
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
1 answer
1 answer