Answer:
y = 9x - 8
Step-by-step explanation:
The intercept form of the equation of a line is represented by
y = mx + c
Where;
y = value of the y-coordinate at any point on the line
m = the slope of the line =
(change in y) / (change in x)
= (y - y1) / (x - x1)
x = value of the x-coordinate at that point.
c = intercept on the Y-axis in a Cartesian plane
Points are represented as (x, y)
Given a point on the line (2, 10)
(2, 10) corresponds to (x, y)
x = 2
y = 10
Also given, slope, m = 9
Recall m = (y - y1) / (x - x1)
Coordinates at a point on the line were given (2, 10)
y1 = 10
x1 = 2
9 = (y - 10) / (x - 2)
Cross multiply
y - 10 = 9(x - 2)
On expansion,
y - 10 = 9x - 18
To make y subject of formula, add 10 to both sides of the equation
y - 10 + 10 = 9x - 18 + 10
y = 9x - 8
y = 9x - 8 is the equation in slope form.
