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Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(−1,−3)(−1,−3) and (−2,−5)

Question

Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(−1,−3)(−1,−3) and (−2,−5)

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Solution

Step 1: Find the slope (m) between the two points using the formula m = (y2 - y1) / (x2 - x1).

Substitute the given points into the formula: m = (-5 - (-3)) / (-2 - (-1)) = -2 / -1 = 2.

So, the slope (m) is 2.

Step 2: Use the slope (m) and one of the points to write the equation of the line in slope-intercept form (y = mx + b).

Let's use the point (-1, -3). Substitute m = 2, x = -1, and y = -3 into the equation: -3 = 2*(-1) + b. Solve for b: b = -3 - (-2) = -1.

So, the y-intercept (b) is -1.

Step 3: Write the final equation of the line in slope-intercept form: y = 2x - 1.

So, the slope is 2 and the y-intercept is -1.

This problem has been solved

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