Writing in Slope Intercept Form

The general equation of a line is y =mx+c  it is called slope intercept form of that line. Here m represent the slope of the line and c is the y intercept .here we are going to learn about how to write slope intercept form and its example problems.

For example:

y- 3x = 6

The slope intercept form is y =mx+b

-3x moves to right hand side so it will be 3x

Therefore slope intercept form y =3x+6

I like to share this slope of the line with you all through my article.

Example problems to write in slope intercept form:

Write the equation of a straight line in slope intercept form whose slope = 3 and passes through the point (-1,-6).

Solution:

We know that general equation of a line y=mx+b

Here

m=3

x=-1

y=-6

Substitute all the value in the general equation

-6 = 3(-1) +b

-6 =-3 +b

Add both sides +3b

-6 +3 =-3+3 +b

b=-3

Substitute the y intercept value in the general equation,

y=3x-3

There the equation of straight line is y=3x-3

Writing equations in slope intercept form:

Write the slope intercept form of the line that the line passes through the points (2, 3) (5, 6)

Solution:

We want to find the equation for a line that passes through the two points:

(2, 3) and (5, 6).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope
slope intercept form

First, let's find what m is, the slope of the line...

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

m = `(y2-y1) / (x2-x1)`

Here,

x1=2 and y1=3.

x2=5 and y2=6.

Now, just plug the numbers into the formula for m above, like this:

m=`(6-3)/(5-2)`

m=`3/3`

m=1

Therefore the slope of the given line is 1

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Slope intercept form = y=mx+b

x=2 and y =3

So

3=1*2+b

3=2+b

b=3-2

b=1

Therefore the slope intercept form y=x-1