Question

How many solutions are there for the system of equations shown on the graph? A coordinate plane is shown with two lines graphed. One line crosses through the x axis at negative 4 and the y axis at 2. The other crosses through the x axis at negative 4 and the y axis at 2. No solution One solution Two solutions Infinitely many solutions

Answer 1

So two points for the first line are (-4,0) and (0, 2) so the slope of this line is:

m=(2--4)/(0--4)=6/4=1.5  and we can see from point to that b, the y-intercept is 2 so the line is:

y=1.5x+2

The second line has the same points and is therefore the same line, so there are infinitely many solutions.