Find the equation of the linear function represented by the table below in slopeintercept form.
(x, y) (4,12) (1,2) (6, 8) (11, 18)
Find the slope of the line using any two points.
change in y ——————— = slope change in x 18  8 ——— = slope 11  6 10/5 = slope slope = 2 Substitute the slope in, with one point, into slopeintercept form, in order to find the yintercept. Slopeintercept form is y = mx + b m is the slope b is the yintercept Substitute the slope, 2, in for m, and the coordinates of one point in for x and y. y = mx + b {slopeintercept form} (1,2) is a point and 2 is the slope 2 = 2(1) + b {substituted into slopeintercept form} 2 = 2 + b {multiplied 2 by 1} b = 4 {subtracted 2 from each side} Substitute the slope, 2, and the yintercept, 4, back into slopeintercept form. y = 2x  4 is the equation of the line Ask the House
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. 
Archives
February 2023
