To graph the given equations, we should start by using the y=mx+b form of each equation to identify the key features of their graphs.
Given Equation
y=mx+b
Growth Factor m
y-intercept b
y=2x+3
y= 2x+ 3
2
(0, 3)
y=x+1
y= 1x+ 1
2
(0, 3)
We can start by plotting their y-intercepts. Then, we will use the growth factor to determine another point that satisfies each equation and connect the points with a line.
We can see that the lines intersect at exactly one point.
