What Is (-1/2, -1) And (3, 5/2) In Slope Intercept Form?

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Answer:

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The formula for the slope intercept form of the equation of a line is:

y=mx+c

Where:

y= the y coordinates

m= the slope

x= the x coordinates; and

c= the y intercept of the line

Lets start with finding the slope 'm'

The formula for slope is:

m= y2-y1 / x2-x1

In the examine we are given:

y2=5/2

y1=-1

x2=3

x1=-1/2

So our slope would be:

m= y2-y1 / x2-x1

m= 5/2+1/ 3+1/2

making common denominator:

m= 5+2/2 / 6+1/2addingm=7/2 / 7/2Which is:

m=7/2 * 2/7multiplyingm=14/14som=1Hence the slope is 1

Next lets find the value of the y intercept 'c'

Hence:

y=mx+c

We cart one of the coordinates given in the question:

5/2=3(1)+c

5/2=3+c

c=5/2-3

making common denominator:

c=5-6/2c=-1/2So c is -1/2

our equation of the column would be:

y=1x-1/2

This can be written as:

y=x-1/2

So the equation of the line is y=x-1/2

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