Equations written in Slope-Intercept Form follow a specific format, where

m

is the slope of the line and

b

is the

y -

intercept.

y = m x + b

We need to identify these values using the graph. Let's start with the

y -

intercept.

Finding the $y -$ intercept

The

y -

intercept is the

y -

value where the line crosses the

y -

axis.

We can see that the function intercepts the

y -

axis at

(0, 0) .

This means that the value of

b

is

0 .

y = m x + 0 \Leftrightarrow y = m x

Finding the Slope

To find the slope, we will trace along the line on the given graph until we find a lattice point. In doing so, we will be able to identify the slope $m$ using the $rise$ and $run$ of the graph.

Here we've identified

(2, - 3)

as our other point. Traveling to the

y -

intercept from this point requires that we move

2

steps horizontally in the negative direction and

3

steps vertically in the positive direction.

\frac{rise}{run} = \frac{3}{- 2} \Leftrightarrow m = - \frac{3}{2}

Writing the Equation

Now that we have the slope and the

y -

intercept, we can form our final equation.

y = - \frac{3}{2} x

Finding the y-intercept

Finding the Slope

Writing the Equation

Finding the $y -$ intercept

{{ 'ml-heading-exercise' | message }} {{ exercise.name }} {{ 'ml-label-page' | message }} {{ exercise.page }}

{{ 'ml-solutions-missing-heading' | message }}