Answer:
[tex]y=\frac{5}{3}x+4\frac{2}{3}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
Given:
Slope(m) = [tex]\frac{5}{3}[/tex]
Point = (-1, 3)
To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:
[tex]3=\frac{5}{3}(-1)+b[/tex]
[tex]3=-\frac{5}{3}+b[/tex]
[tex]4\frac{2}{3}=b[/tex]
Now that we know the values of b and m, we can write the equation:
[tex]y = \frac{5}{3}x+4\frac{2}{3}[/tex]
