Question

Given the two points (3,11) & (5,17). Find the slope and the y-intercept then write your answer in the form of an equation.

Answer 1

Answer: y = 3x + 2

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

m = (y2 - y1)/(x2 - x1)

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3, 11) and (5, 17),

y2 = 17

y1 = 11

x2 = 5

x1 = 3

Slope,m = (17 - 11)/(5 - 3) = 6/2 = 3

To determine the y intercept, we would substitute x = 3, y = 11 and

m = 3 into y = mx + c. It becomes

11 = 3 × 3 + c

11 = 9 + c

c = 11 - 9

c = 2

The equation becomes

y = 3x + 2

Answer 2

Answer:

y = 3x + 2

Step-by-step explanation:

Slope: (17 - 11)/(5 - 3) = 6/2 = 3

y = 3x + c

11 = 3(3) + c

c = 11 - 9

c = 2

y = 3x + 2