Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation.

Point: (−1,−2)(−1,−2)

Equation: 3x−y=53x−y=5

Parallel Equation: y=

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Answer 1

y = -3x -5

Explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The equation 3x - y = 5 can be converted to slope intercept form to find the slope. The slope of the line y = -3x - 7 is -3. Substitute m = -3 and the point (-1,-2) into the point slope form of a line.

`y -y_1 = m(x-x_1)\\y --2 = -3(x --1)\\y + 2 = -3(x+1)\\`

You can convert the equation to slope intercept form by using the distributive property.

y + 2 = -3(x+1)

y + 2 = -3x - 3

y = -3x - 5