Answer:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line is,
Slope, m = (18-6)/(5-3) = 12/2 = 6
Substitute one of the point in the equation of the line,
18 = 6(5) + C
18 = 30 + C
C= -12
Hence, the equation of the line that passes through the points (3, 6) and (5, 18) using function notation is f(x)=6x-12
Step-by-step explanation:
therefore it is -12
Answer:
f(x) = 6x - 12
Step-by-step explanation:
The slope of a line can be found using this formula:
m = (y2 - y1) / (x2 - x1)
1. where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Substituting the values, we get:
m = (18 - 6) / (5 - 3)
m = 12 / 2
m = 6
2. Now that we have the slope, we can use either of the two given points and the slope to find the y-intercept. Let's use the point (3, 6):
y = mx + b
6 = 6(3) + b
6 = 18 + b
b = -12
So the equation of the line in slope-intercept form is:
y = 6x - 12
To write this equation in function notation, we simply replace y with f(x), giving us:
f(x) = 6x - 12
