SOLUTION: How to write an equation of a line with the given slope and y-intercept? 1. m= 3/7 b=-2 2. m=9, b=0 3. m=0, b=-5 How to write an equation of a line through the

Question 75462This question is from textbook
: How to write an equation of a line with the given slope and y-intercept?
1. m= 3/7 b=-2 2. m=9, b=0 3. m=0, b=-5

How to write an equation of a line through the given points
1. (-1,1) (2,7) 2. (0,-5)(3,-2) 3. (6,11) (3,13)

This question is from textbook

Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
How to write an equation of a line with the given slope and y-intercept?

1. m = 3/7 b = -2 2. m = 9, b = 0 3. m = 0, b =- 5

SOLUTION:

The general equation of the line is given by:

y = mx + b ----------------(1) represents the standard(general)equation.

where, m = represents the slope and b represents the y-intercept

1) m = 3/7 b = -2

Substituting these in the above equation, we have:

y = (3/7)x +(-2)

==> 7y = 3x - 14

-------------------------------------------------------------------------------

2. m = 9, b = 0

Substituting these values in the general eqn, we have:

y = (9)x + 0

==> y = 9x

------------------------------------------------------------------------------

3. m = 0, b =- 5

Substituting these values, we get:

y = (0)x + (-5)

==> y = - 5
------------------------------------------------------------------------------

(II) How to write an equation of a line through the given points

1. (-1,1) (2,7) 2. (0,-5)(3,-2) 3. (6,11) (3,13)

Solution: The equation of the line when two points are given is calculated by using the formula:

or this can also be written as :

(y - y1) = m (x - x1) ------------------(2)

Where gives the slope of the eqn.

We first calculate the slope of the eqn and then substitute them in the eqn (2)

--------------------
--------------------

1. (-1,1) (2,7)

Here in this case m =

==> m =

==> m = 3

Substituting the point and the slope in the eqn (2), we get:

y - 1 = 3( x - (-1))

y - 1 = 3(x + 1)

y - 1 = 3x + 3

y = 3x + 4

----------------------------------------------

2. (0,-5)(3,-2)

Here in this case m =

==> m =

==> m = 1

Substituting the point and the slope in the eqn (2), we get:

y - (-5) = 1( x - 0)

==> y + 5 = x is the equation of the straight line.

-----------------------------------------------------------------------------

3. (6,11) (3,13)

Here in this case the slope of this line is given by:

m =

m =

Substituting this in the above formula, we get:

3y - 33 = -2x + 12

3y + 2x = 33 + 12

3y + 2x = 45

Hence, the solution.

HAPPY CALCULATING!!!!! :))

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