HOW TO FIND EQUATION OF A LINE FROM GIVEN GRAPH

Find the equation of each line

Problem 1 :

Solution :

Slope of a line (m) = rise/run

= 3/1

m = 3

y - intercept (b) = 4

Equation of a straight line y = mx + b

y = 3x + 4

Problem 2 :

Solution :

Slope of a line (m) = rise/run

= 2/1

m = 2

y - intercept (b) = 5

Equation of a straight line y = mx + b

y = 2x + 5

Problem 3 :

Solution :

Slope of a line (m) = rise/run

= 1/1

m = 1

y - intercept (b) = 0

Equation of a straight line y = mx + b

y = x 

Problem 4 :

Solution :

Slope of a line (m) = rise/run

= 3/1

m = 3

y - intercept (b) = -1

Equation of a straight line y = mx + b

y = 3x - 1 

Problem 5 :

Solution :

Slope of a line (m) = rise/run

= -6/6

m = -1

y - intercept (b) = 6

Equation of a straight line y = mx + b

y = -x + 6 

Problem 6 :

Solution :

Slope of a line (m) = rise/run

= -3/1

m = -3

y - intercept (b) = 2

Equation of a straight line y = mx + b

y = -3x + 2 

Problem 7 :

Solution :

Slope of a line (m) = rise/run

= 4/2

m = 2

y - intercept (b) = -4

Equation of a straight line y = mx + b

y = 2x - 4 

Problem 8 :

Solution :

Slope of a line (m) = rise/run

= -6/3

m = -2

y - intercept (b) = 3

Equation of a straight line y = mx + b

y = -2x + 3 

Problem 9 :

Solution :

Slope of a line (m) = rise/run

= 3/2

m = 3/2

y - intercept (b) = 0

Equation of a straight line y = mx + b

y = 3/2x 

Problem 10 :

Solution :

Slope of a line (m) = rise/run

= 2/2

m = 1

y - intercept (b) = 2

Equation of a straight line y = mx + b

y = x + 2