Question

What is the slope- intercept equation of the line below?

Answer 1

Answer:

y= 5/4x - 2

Step-by-step 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

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Hope I helped, Feel Free to ask any questions to clarify :)

Have a fantastic day!

                       -Aadi x