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Write the slope-intercept form of the equation of each line​

 

 Aug 31, 2020
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You will need to know what "slope intercept" form is to solve these probelems. Basically, they are the equation of a line in this form:

 

y = [slope]x + [y-intercept]

 

Therefore, for each line, we need to find the slope and the y-intercept.

 

Here are a few basic things you need to know before we continue:

 

What is a slope?

 

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

- Khan Academy

 

What is the y-intercept?

 

It is the y coordinate at the point where the line touches the y-axis.

 

How to tell if a slope is positive or negative?

 

Found these pictures on quora. The second one is a funny way to remeber:

 

 

 

1)

 

SLOPE:

 

To find this, let's find two points on the line: (2, 0) and (0, 3)

 

                             rise        -3

We see that the  -------- = ----      (AKA the difference of y over difference of x)

                             run         2

 

Y-INTERCEPT:
 

This is easy. It is on the graph. It basically is where the line touches the y-axis. This is at y = 3

 

THE EQUATION:

 

y = -3/2 x + 3

 

2)

 

SLOPE:

 

To find this, let's find two points on the line: (2, 2) and (0, 3)

 

                             rise        -1

We see that the  -------- = -----      

                             run         2

 

 

Y-INTERCEPT:
 

This is at y = 3

 

THE EQUATION:

 

y = -1/2 x + 3

 

3)

 

SLOPE:

 

To find this, let's find two points on the line: (3, 3) and (0, 1)

 

                             rise        3

We see that the  -------- = -----      

                             run         2

 

 

Y-INTERCEPT:
 

This is at y = 1

 

THE EQUATION:

 

y = 3/2 x + 1

 

:)

 Aug 31, 2020

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