Please make sure the fields above are complete and your results below are thoroughly detailed Math for College Algebra Find the slope of the line satisfying the given conditions. Quiz 6 1. through (1,1) and (-1,0) 2. horizontal through (-1,0) 3. vertical through (-1,1) Write an equation for each line described. 4. through (-1,1) with slope -(1)/(2)

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Please make sure the fields above are complete and your results below are thoroughly detailed Math for College Algebra Find the slope of the line satisfying the given conditions. Quiz 6 1. through (1,1) and (-1,0) 2. horizontal through (-1,0) 3. vertical through (-1,1) Write an equation for each line described. 4. through (-1,1) with slope -(1)/(2)

Answer 1

1. The slope of the line passing through the points (1,1) and (-1,0) is \(m = \frac{0 - 1}{-1 - 1} = \frac{-1}{-2} = \frac{1}{2}\). 2. The slope of the horizontal line through (-1,0) is 0. 3. The slope of the vertical line through (-1,1) is undefined. 4. The equation of the line passing through (-1,1) with slope \(-\frac{1}{2}\) is \(y - 1 = -\frac{1}{2}(x + 1)\).

Answer 2

## Step 1: To find the slope of a line passing through two points, we use the formula: ### \(m ={y_2 - y_1}{x_2 - x_1}\) where \(m\) is the slope, and \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. ## Step 2: For a horizontal line, the slope is 0 because there is no change in the y-coordinate. ## Step 3: For a vertical line, the slope is undefined because there is no change in the x-coordinate. ## Step 4: To write the equation of a line, we use the point-slope form: ### \(y - y_1 = m(x - x_1)\) where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.

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