Question

Write the equation for the line that will pass through both points (-2, 2) and (8, 9). what are the x- and y-intercepts

Answer 1

+ Write the equation for the line that will pass through both points (-2, 2) and (8, 9). We call the equation y=ax+b
So we have 2 equations: 2= -2a+b or b=2a+2
and the second: 9=8a+b or 9= 8a+ 2a+2
or 10a=9-2
10a=7
or a=7/10 and b= 2a+2=2*7/10+2=17/5

and the equation: y= 7/10x+17/5
+ x=0, y= 17/5 is y-intercepts
+ y=0, x= -17/5: 7/10= - 34/7 is x-intercepts