Slopes and Y-Intercepts

Lesson Presentation
Standards that will be tested:
AR 2.4, AR2.5, F1.2, and F1.5

Math Nation - Unit 3, Lesson 4 - Writing Equations of Lines from Written Description - Volume 1, PAGE 127

𝑥-intercept

𝑦-intercept

Intercept: the value of a variable
when all other variables in an
equation are 0.

x - intercept: the value of x, at
the point where a line/graph
intersects the x -axis. The value
of y is 0.

y - intercept: the value of y at
the point where a line/graph
intersects the y -axis. The value
of x is 0.

Fill in the Blanks

What is the x-intercept? (Enter as an order pair)

Fill in the Blanks

What is the y-intercept? (Enter as an order pair)

Fill in the Blanks

What is the x-intercept? (Enter as an order pair)

Fill in the Blanks

What is the y-intercept? (Enter as an order pair)

Rate of Change: is the ratio of change in one quantity to
the corresponding change in another quantity. (Slope)

● Graph

○ Count

● Table

○ Slope Formula

Math Response

What is the slope of the line?

Type answer here

Correct Answer: -\frac{3}{4}

Deg^°

Rad

Math Response

What is the slope of the line?

Type answer here

Correct Answer: \frac{5}{2}

Deg^°

Rad

Fill in the Blanks

What is the x-intercept of the line? (Enter as an order pair)

Fill in the Blanks

What is the y-intercept of the line? (Enter as an order pair)

Fill in the Blanks

What intercept can you see from the table?

Math Response

Write the equation of the line in slope-intercept form?

Type answer here

Correct Answer: y=-\frac{3}{4}x-9

Deg^°

Rad

Math Response

Write the equation of the line in slope-intercept form?

Type answer here

Correct Answer: y=\frac{5}{2}x-4

Deg^°

Rad

Guided Instruction:

● Given a slope and a y intercept you can look an x intercept

Ex. slope is and passes through the point (0, 4)

Step 1: Write in slope-intercept form (y=mx+b)

y = x + 4

Guided Instruction:

Step 2: (we know that x intercept has a y value of 0) Replace y
with 0

0 = x + 4

Step 3: Solve for x

0 = x + 4

Subtract 4 from both side

- 4

- 4

2(- 4 = x)

Multiply both sides by 2

- 8 = x

x -intercept

Math Response

What is the x -intercept? (Leave answer in terms of a fraction)

Type answer here

Correct Answer: \frac{8}{5}

Deg^°

Rad

Fill in the Blanks

A line with a slope of $-\frac{3}{4}$ and passes through the point ( 0, -27). Has a x-intercept of? (Write answer in order pair)