Find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept the choices: 0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell 1 solution: lines intercect in 1 point 2 solutions: curvy line with a straight line thorugh middle infinetly solutions: same line
to find slope you do slope=(y1-y2)/(x1-x2) first line is (2,-7) (0,6) (x,y) x1=2 y1=-7 x2=0 y2=6 subsitute (-7-6)/(2-0)=-13/2 slope=-13/2 subsitute y=-13/2x+b subsitute one of the points (0,6) x=0 y=6 6=-13/2(0)+b 6=0+b 6=b y=-13/2+6
we have the lines y=-13/2x-6 and y=x-3 solve for a common solution y=x-3 and y=-13/2x-6 therefor x-3=-13/2x-6 add 6 to both sides x+3=-13/2x multiply both sides by -2 -2x-6=13x add 2x to both sides -6=15x divide both sides by 15 -2/5=x subsitute y=x-3 y=-2/5-3 y=-3 and 2/5 or -17/5 the solution is (-2/5, -17/5) there is only one solution the answer is B
