You can put this solution on YOUR website! (7, 6) and (10, 15)
y=mx+b [Use the slope-intercept form of a line]
Slope = m = (y2-y1)/(x2-x1) [Use the slope formula first]
Slope = m = (15-6)/(10-7)=9/3 = 3
.
y=mx+b
(15)=(3)(10)+b [Plug in the values of one point and the slope]
(15)=30+b [Solve for b]
15-30=30-30+b
-15=b [Plug the y-intercept (b) back into the slope-intercept form]
y=3x-15
.
Check by plugging the points back into (y=3x-15).
.
Graphing the equation of the line: