The linear equation of the line through A and D is given by:
y = 3.33x + 43.33.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Point A is the (-10,10) because f(-10) = 10, as follows:
y = -0.5 x -10 + 5 = 5 + 5 = 10.
The line through A and D goes through points (-13,0) and (-10,10), hence the slope, which is change in y divided by change in x, is given by:
m = (10 - 0)/(-10 - (-13)) = 10/3 = 3.33.
Then:
y = 3.33x + b.
When x = -13, y = 0, hence we use it to find b.
0 = 3.3333333(-13) + b
b = 43.33.
The equation is:
y = 3.33x + 43.33.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
