What is an equation of the line that passes through the point (8,0) and is parallel to the line x + 2y = 14?
Parallel lines have equal slopes. Get the equation in slopeintercept form, so that you can identify the slope of the line. Then, use that slope with the given point to get the equation of the line.
Slopeintercept form is y = mx + b m is the slope b is the yintercept x + 2y = 14 {the given equation} 2y = x + 14 {subtracted x from each side} y = (1/2)x + 7 {divided each side by 2} slope = 1/2 (8,0) and m = 1/2 are the point and the slope. Substitute into slopeintercept form to get the yintercept. y = mx + b {slopeintercept form} 0 = (1/2)(8) + b {substituted the point and slope into slopeintercept form} 0 = 4 + b {multiplied} b = 4 {subtracted 4 from each side} yintercept = 4 Substitute the slope, 1/2, and the yintercept, 4, back into slopeintercept form. y = mx + b {slopeintercept form} y = (1/2)x  4 is the equation of the line. Ask Algebra House
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. 
Latest Videos
Archives
May 2024
