Slopes and Intercepts

Slopes and Intercepts

Objective: Identify the slope and intercepts given a graph or a table.​

Draw

Fill in the table

​Graph the points from the table

​Identify the x-intercept

​Identify the y-intercept

Multiple Choice

What is the y-intercept of the line shown?

• (0,-4)

• (-4,0)

• (0,1)

• (1,0)

Multiple Choice

What is the x-intercept of the line shown?

• (0,-4)

• (-4,0)

• (0,1)

• (1,0)

​x-intercept: (-8,0)

​y-intercept: (0,-4)

​We can also identify the intercepts using the table that made the graph.

Multiple Select

Given the table, what are the x and y intercepts?

• x-intercept

  (0,-12)

• y-intercept

  (0,-12)

• x-intercept

  (3,0)

• y-intercept

  (3,0)

SLOPE: the ratio (fraction) of the rise over the run

Find the slope of each graph

Finding the Slope Given Two Points

What if instead of having a graph, I ONLY knew the two points.

Finding the Slope Given Two Points

EXAMPLE:

Find the slope of the line that passes through (-3,7) and (0,3).​​

Multiple Choice

Which is the proper way to set up finding the slope of a line that passes through (1,-6) and (9,-8)?

• $$\frac{-6-\left(-8\right)}{1-9}$$  

• $$\frac{1-9}{-6-\left(-8\right)}$$  

• $$\frac{1-\left(-6\right)}{9-\left(-8\right)}$$

• $$\frac{-8-9}{-6-1}$$

Multiple Choice

Find the slope of a line that passes through the given points:
(1,-6) and (9,-8)

• $$-\frac{1}{4}$$  

• $$\frac{1}{4}$$  

• $$-4$$

• $$4$$

​Find the Slope given a Table

Multiple Choice

Given the table, find the slope.

• $$\frac{1}{5}$$  

• $$\frac{5}{1}$$  

• $$-\frac{1}{5}$$  

• $$-\frac{5}{1}$$