Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Question
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Solution
The point-slope form of a line is given by the formula y - y1 = m(x - x1), where m is the slope of the line, and (x1, y1) is a point on the line.
In this case, we are given that the slope m = -2, and the x-intercept is -1. The x-intercept is the point where the line crosses the x-axis, which means the y-coordinate of this point is 0. So, we have the point (-1, 0).
Substituting these values into the point-slope form, we get:
y - 0 = -2(x - (-1))
Simplifying this, we get:
y = -2(x + 1)
So, the point-slope form of the equation of the line with a slope of -2 and an x-intercept of -1 is y = -2(x + 1).
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