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Instructions: Write the equation of the line passing through the points (−2,3)(−2,3) and (−1,−2)(−1,−2) in Slope-Intercept and Point-Slope Form. Slope Intercept Form: Point-Slope Form: CheckQuestion 16

Question

Instructions: Write the equation of the line passing through the points (−2,3)(−2,3) and (−1,−2)(−1,−2) in Slope-Intercept and Point-Slope Form. Slope Intercept Form: Point-Slope Form: CheckQuestion 16

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Solution

First, we need to find the slope of the line passing through the points (-2,3) and (-1,-2). The formula for the slope (m) is:

m = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula, we get:

m = (-2 - 3) / (-1 - (-2)) = -5 / 1 = -5

Now that we have the slope, we can write the equation of the line in point-slope form, which is:

y - y1 = m(x - x1)

Substituting one of the given points (-2,3) and the slope into the formula, we get:

y - 3 = -5(x - (-2))

Simplifying this equation, we get:

y - 3 = -5x - 10

Adding 3 to both sides to isolate y, we get the equation of the line in slope-intercept form:

y = -5x - 7

So, the equation of the line in slope-intercept form is y = -5x - 7 and in point-slope form is y - 3 = -5(x + 2).

This problem has been solved

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