Find the equation of the linear function represented by the table below in slopeintercept form.
 To get the equation of a line, you need a point and a slope.
 Choose two points from the chart and find the slope of the line through those two points. (2,2) and (3,7) 7  (2) ————— = slope {change in ycoordinates over change in xcoordinates} 3  (2) 5 —— = slope {subtracted in numerator and denominator} 5 slope = 1 Take the slope, with one of the points, and substitute into slopeintercept form. (2,2) , slope = 1 y = mx + b {slopeintercept form} 2 = 1(2) + b {substituted 2 for x, 2 for y, and 1 for m} 2 = 2 + b {multiplied 1 by 2} b = 4 {subtracted 2 from each side} yintercept = 4 Substitute the slope, 1, and the yintercept, 4, back into slopeintercept form. y = mx + b {slopeintercept form} y = 1x  4 {substituted 1 for m, and 4 for b} y = x  4 is the function represented by the table Ask Algebra House
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. 
Latest Videos
Archives
October 2024
