Question

Can someone answer this for me

Answer 1

The linear equation graphed is given by:

y - 5 = 3(x - 1).

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.

In point-slope form, considering a point $(x_0, y_0)$, the equation is:

$y - y_0 = m(x - x_0)$

The line goes through points (0,2) and (1,5), hence the slope is:

m = (5 - 2)/(1 - 0) = 3.

Since the line goes through point (1,5), the equation is:

y - 5 = 3(x - 1).

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1