Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +5 (from -3 to 2)
y changes by -15 (from 10 to -5)
so, the slope is -15/+5 = -3
the equation looks now like
y = -3x + b
let's use the first point
10 = -3×-3 + b = 9 + b
1 = b
so, the equation is
y = -3x + 1
