Answer: y = 3x + 2
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