WRITE AN EQUATION OF THE LINE WITH THE GIVEN SLOPE AND Y-INTERCEPT

Write down the equation of a line with :

Problem 1:

Gradient 2 and y-intercept 11

Solution :

Write the slope - intercept form equation of a line:

y = mx + b

Substitute 2 for m and 11 for b

y = 2x + 11

2x - y + 11 = 0

Hence, the equation of a line is 2x - y + 11 = 0.

Problem 2 :

Gradient 4 and y-intercept -6

Solution :

Write the slope - intercept form equation of a line:

y = mx + b

Substitute 4 for m and -6 for b

y = 4x - 6

4x - y - 6 = 0

Hence, the equation of a line is 4x - y - 6 = 0.

Problem 3 :

Gradient -3 and y-intercept 1/2

Solution :

Write the slope - intercept form equation of a line:

y = mx + b

Substitute -3 for m and 1/2 for b

y = -3x + 1/2

3x + y - 1/2 = 0

6x + 2y - 1 = 0

Hence, the equation of a line is 6x + 2y - 1 = 0.

Problem 4 :

Gradient -1 and y-intercept 4

Solution :

Write the slope - intercept form equation of a line:

y = mx + b

Substitute -1 for m and 4 for b

y = -x + 4

x + y - 4 = 0

Hence, the equation of a line is x + y - 4 = 0.

Problem 5 :

Gradient 0 and y-intercept 7

Solution :

Write the slope - intercept form equation of a line:

y = mx + b

Substitute 0 for m and 7 for b

y = 0 + 7

 y - 7 = 0

Hence, the equation of a line is y - 7 = 0.

Problem 6 :

Gradient 2/3 and y-intercept 6

Solution :

Write the slope - intercept form equation of a line:

y = mx + b

Substitute 2/3 for m and 6 for b

y = (2/3)x + 6

(2/3)x - y + 6 = 0

2x - 3y + 18 = 0

Hence, the equation of a line is 2x - 3y + 18 = 0.