Question

What is the equation of the line graphed?

Answer 1

Introduction:

To find the equation of the line, we need to know the slope and the y-intercept.

Finding the y-intercept:

The y-intercept is the point that intersects on the y-axis. We can clearly see that the point that intersects on the y-axis is -2. This means that -2 is our y-intercept.

Finding the slope:

To find the slope, we need to choose any two points on the line and use the formula "Rise/Run". I chose the points (0, -2) and (1, 1)

• => Rise/Run = 3/1

We know that the slope has to be positive because it is increasing. The slope is 3.

Creating the equation:

Now, let's create our equation.

=> (y = mx + b) = (y = 3x - 2)

Answer:

The graphed equation is y = 3x - 2.

Answer 2

y = 3x - 2

Explanation:

a line can be in 3 different forms, here I will use the slope-intercept form

y = mx + b where 'm' equals the slope and 'b' refers to the y-intercept

start by selecting two points: (1,1) and (2,4)

to find slope, subtract the y-values and place them over the x-values

m = (4-1)÷(2-1)

m = 3/1

We can see by the graph that it intersects the y-axis at -2

so we have our equation:

y = 3x - 2