Question

Write the slope-intercept form of the equation that passes through the point (-2, 3) and is parallel to the line y = -6x - 9 y = 1/6x - 1 y = 6x - 9 y = -6x - 1 y = -6x - 9

Answer 1

y = -6x - 9

Explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

Parallel lines have the same slope.

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We have y= -6x - 9 → m = -6

Put the value of a slope and the coordinates of the point (-2, 3) to the equation of a line:

3 = -6(-2) + b

3 = 12 + b subtract 12 from both sides

-9 = b → b = -9

Finally:

y = -6x - 9