Answer:
slope-intercept form: y = [tex]\frac{1}{2}x+5[/tex]
point-slope form: (y - 3) = [tex]\frac{1}{2}[/tex](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 = [tex]\frac{1}{2}[/tex]x -2
Given a slope of [tex]\frac{1}{2}[/tex] and point of (-4, 3), we can find the three forms:
point-slope form: (y - 3) = [tex]\frac{1}{2}[/tex](x + 4)
slope-intercept form: y = mx + b or 3 = ([tex]\frac{1}{2}[/tex])(-4) + b
3 = -2 + b or 5 = b, so y = [tex]\frac{1}{2}x+5[/tex]
standard form: x - 2y = -10
