slope-intercept form of the equation of the linewhat is the slope-intercept form of the equation of the line whose x-intercept is 3 and whose y-intercept is 5?

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

The slope intercept form of an equation is given as

y = mx + b

where b is the y intercept and m is the slope.

So you already have

y = mx + 5

You can find the slope of the line by using two points and the slope formula.  You have two points -- the x intercept (3,0) and the y intercept (0,5).  So now you can find the slope of the line by using

m = y1-y2/x1-x2

m = (5-0)/(0-3)

That will give you your slope and then you have the equation.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

Pay attention, if it is given the value of x intercepting point, that means that y = 0.

This point is on the line y = mx + n, that represents the slope intercept form.

The point (3 ; 0) is located on a line if and only if it's coordinates verify the equation of the line:

0 = 3m + n (1)

If it is given the value of y intercepting point, that means that x = 0.

The point (0 ; 5) is located on a line if and only if it's coordinates verify the equation of the line:

5 = 0*m + n

n = 5 (2)

We'll substitute n in (1):

0 = 3m + n

3m = -n

m = -n/3

m = -5/3

The slope intercept form of the line is:

y = -5x/3 + 5

debjagan's profile pic

debjagan | Student | eNotes Newbie

Posted on

Thats a great answer... I am high school shopmore and just started these topics. I actually found a cool site which even has slope calcualtors....it might help you.

 

http://www.thexorb.com/Algebra/Slope/Slope-Calculation.aspx

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