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# help with lines

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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).

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