Write the equation of the line that is parallel to 2x – 4y = 8 and passes through the point ( -4, 3) in each of the following forms: point – slope form slope – intercept form standard form

slope-intercept form: y =

point-slope form: (y - 3) = (x + 4)

standard form: x - 2y = -10

Step-by-step explanation:

Lines that are parallel to each other have the same slope.  Using the given line: 2x - 4y = 8, we can solve for slope by converting to slope-intercept form:

-4y = -2x + 8

divide all terms by '-4':  y = x -2

Given a slope of and point of (-4, 3), we can find the three forms:

point-slope form: (y - 3) = (x + 4)

slope-intercept form: y = mx + b or 3 = ()(-4) + b

3 = -2 + b or 5 = b, so y =

standard form: x - 2y = -10

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step-by-step explanation: