Are the equations in slope-intercept form? What information can the slope-intercept form of an equation give us?
Practice makes perfect
To graph the given equations, we should start by using the slope-intercept form of each equation to identify the key features of their graphs.
Write in Slope-Intercept Form
Let's rewrite each of the equations in the system in slope-intercept form, highlighting the m and b values.
Given Equation
Slope-Intercept Form
Slope m
y-intercept b
y=-1/4x
y=- 1/4x+ 0
-1/4
(0, 0)
y=-1/4x+2
y=-1/4x+ 2
-1/4
(0, 2)
Graphing the System
To graph these equations, we will start by plotting their y-intercepts. Then, we will use the slope to determine another point that satisfies each equation, and connect the points with a line.
