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

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

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

Have a fantastic day!

                       -Aadi x

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for