Question

What is the equation in y=mx+b form that represents the function in the graph?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

point 1 (0 , 0 ) x1 = 0 y1 = 0

point 2 (2 , -3) x2 = 2 y2 = -3

equation of the line = ?

Step 02:

Slope formula

`m\text{ = }(y2-y1)/(x2-x1)=(-3-0)/(2-0)=(-3)/(2)`

Slope-intercept form of the line

y = mx + b

b = y-intercept = 0

m = - 3/2

y = -3/2 x + 0

y = -3/2 x

The answer is:

y = -3/2 x