What is the equation of the line that passes through the point (8,0) and is parallel to the line x + 2y = 14 ?
Parallel lines have the same slope.
 Get the equation of the given line in slopeintercept form, in order to see the slope of the line. Slopeintercept form is y = mx + b m is the slope b is the yintercept x + 2y = 14 2y = x + 14 {subtracted x from each side} y = (1/2)x + 7 {divided each side by 2} slope = 1/2  Substitute the slope and the (x,y) coordinates of the given point into slopeintercept form, in order to get the yintercept of the new line. slope = 1/2 and point is (8,0) y = mx + b {slopeintercept form} 0 = (1/2)(8) + b {substituted point and slope into slopeintercept form} 0 = 4 + b {multiplied} b = 4 {subtracted 4 from each side} On the new line, slope is 1/2 and yintercept is 4 y = (1/2)x  4 is the equation of the line passing through (8,0) and parallel to x + 2y = 14 Ask the House
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January 2021
