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 a linear equation is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
b. m = -2 is given as the slope. We are told that the x-intercept is -1. The x-intercept is the point where the line crosses the x-axis, so the x-coordinate is -1. Let's call this x1. To find y1, we can substitute -1 into the equation of the line and solve for y. The equation becomes 0 = -2(-1) + y. Simplifying, we get 0 = 2 + y. Subtracting 2 from both sides, we find y = -2. Therefore, x1 = -1 and y1 = -2.
c. Substituting the values for m, x1, and y1 into the point-slope form of the equation, we get y - (-2) = -2(x - (-1)). Simplifying, we have y + 2 = -2(x + 1).