<span>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 (-4,8) (4,6) (x,y) x1=-4 y1=8 x2=4 y2=6 subsitute (8-6)/(-4-4)=2/-8=-1/4 slope=-1/4 subsitute y=-1/4x+b subsitute one of the points (4,6) x=4 y=6 6=-1/4(4)+b 6=-1+b add 1 to both sides 7=b y=-1/4+7
we have the lines y=-1/4x+7 and y=x+2 solve for a common solution y=x+2 and y=-1/4x+7 therefor x+2=-1/4x+7 subtract 7 from both sides x-5=-1/4x mulitply both sides by -4 -4x+20=x add 4x to both sides 20=5x divide both sides by 5 4=x subsitute y=x+2 y=4+2 y=6 the soluiton is (4,6) there is only one solution the answer is B</span>
