Answer:
The slope-intercept form:
[tex]y = -3x +4[/tex]
Step-by-step explanation:
-To get the slope-intercept equation, you first need to find the slope by using this equation [tex]m = \frac{rise}{run}[/tex] (starting counting from the first point, to the second point) in order to get the slope. After you have the slope, you need to find the y-intercept ( y-intercept is where the line crosses the y axis of the graph, basically). So, to find that, you need look for the point that only crosses the y axis to get the y-intercept. After you have both the slope and y-intercept, you put it in slope-intercept form:
The two points I found from the following graph are:
[tex]( 1, 1)[/tex] and [tex](2, -2)[/tex]
Trick: Since the line of the graph shows that it is down (not up), Start counting down from point [tex]( 1, 1)[/tex] to point [tex](2, -2)[/tex]. Then, find the y-intercept:
[tex]m = \frac{-3}{1} = -3[/tex]
[tex]b = 4[/tex]
Use it to create a slope-intercept form:
[tex]y = mx +b[/tex] (where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept)
[tex]y = -3x +4[/tex]
So, therefore the slope-intercept form is [tex]y = -3x +4[/tex] .
