Answer:
y= 5/4x - 2
Explanation:
Hey!
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -2.
Substitute in the Slope-Intercept Form Equation:
y = mx -2
Pick another point and substitute its x and y values in this equation.
I chose (5,2) and substituted as 2 = m(5) -2
Isolate m:
Add 2 to both sides [Addition Property of Equality]
2 + 2 = 5m - 2 + 2
4 = 5m
Divide by 5 on both sides. [Division Property of Equality]
5m/5 = 4/5
m=4/5
Substitute in Slope-Intercept Form Equation.
The Equation in Slope Intercept Form is y = 4/5x - 2
==================================================================
Hope I helped, Feel Free to ask any questions to clarify :)
Have a fantastic day!
-Aadi x