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).
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.
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