Q:

Find the slope-intercept form of the line that satisfies the given conditions (9,0) and (-3,2)

Accepted Solution

A:
Answer:y = (-1/6)x + 3/2Step-by-step explanation:1. FIND SLOPE:formula to find slope given 2 points    y2 - y1       x2 - x1substitute the points we were given   2 - 0       -3 - 9finally, simplify.   2          =     -2        =       -1       this is the slope   -12                12                 62. FIND Y-INTERCEPT:Lastly, we have to figure out the y-intercept.To do this, plug in our slope and either one of the points to y = mx+b.(2) = (-1/6)(-3) + b          now, just solve for b, the y-intercept.(2) = (1/2) + b   b = 3/2now plug in both the slope and y-intercept that we found. that's it.slope-intercept form is y = mx + b, where m=slope and b=y-int.y = (-1/6)x + 3/2