Are the equations in y=mx+b form? What information can this form of an equation give us?
See solution.
Practice makes perfect
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.
y= mx+ b
In this equation, m is the growth factor and b is the y-intercept. Let's rewrite each of the equations in the system in y=mx+b form, highlighting the m and b values.
Given Equation
y=mx+b Form
Growth Factor m
y-intercept b
y=- 4x+3
y= - 4x+ 3
- 4
(0, 3)
y=x-7
y= 1x- 7
1
(0, 7)
To graph these equations, we plot their y-intercepts and use their growth factors to find another point on the line. Then we can connect the points with a straight line.
We can see that the lines intersect at exactly one point.
