Answer:
[tex]y=-\frac{3}{4} x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+c[/tex]. where m is the slope of the line and c is where the line meets the y-axis.
From the graph:
[tex]c=3[/tex], we can clearly see that the line crosses the y-axis at (0,3)
Let's get two points from the graph to find m.
Point 1: (0,3)
Point 2: (4,0)
[tex]m = \frac{dy}{dx}[/tex], where dy is the difference in y and dx is the difference in x.
Therefore, we can put our points into that equation.
[tex]\frac{3-0}{0-4} = -\frac{3}{4}[/tex]
So, now we have m and c, we can rewrite the equation [tex]y=mx+c[/tex] with our values.
This gives us: [tex]y=-\frac{3}{4} x+3[/tex]
