Answer:
y = 1/2x - 6
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
Mathematically we can write the equation of a line as;
y = mx + b
where m is slope and b is the y-intercept
We start by getting the slope
m = (y2-y1)/(x2-x1)
m = (-1+5)/(10-2) = 4/8 = 1/2
So we have the equation partially as;
y = 1/2x + b
to get c, we use any of the two points and substitute the individual x and y values
-1 = 1/2(10) + b
-1 = 5 + b
b = -1-5 = -6
so the equation is;
y = 1/2x - 6
