PROBLEMS ON FINDING THE EQUATION OF A LINE IN SLOPE INTERCEPT FORM

Problem 1 :

Find the equation of a line in slope-intercept which is passing through the two points (-1, 4) and (2, -5).

Solution :

Problem 2 :

Find the equation of a line joining the two points (1, -5) and (3, -9) in slope-intercept form.

Solution :

Problem 3 :

Find the equation of the line shown below in slope-intercept form.

Solution :

Problem 4 :

Find the equation of the line shown below in slope-intercept form.

Solution :

Problems 5-8 : Write the given linear equation in slope-intercept form.

Problem 5 :

2x + y - 1 = 0

Solution :

The slope-intercept form equation of a line :

y = mx + b

To write the given linear equation in slope-intercept form, solve for y interms of x.

2x + y - 1 = 0

Add 1 to both sides.

2x + y = 1

Subtract 2x from both sides.

y = -2x + 1

Problem 6 :

3x - y + 2 = 0

Solution :

3x - y + 2 = 0

Add y to both sides.

3x + 2 = y

or

y = 3x + 2

Problem 7 :

5x + 2y - 3 = 0

Solution :

5x + 2y - 3 = 0

Add 3 to both sides.

5x + 2y = 3

Subtract 5x from both sides.

2y = -5x + 3

Divide both sides by 2.

Problem 8 :

x - 3y - 9 = 0

Solution :

x - 3y - 9 = 0

Add 9 to both sides.

x - 3y = 9

Subtract x from both sides.

-3y = -x + 9

Divide both sides by -3.