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Math

Slope

Writing slope-intercept equations

Slope-Intercept Worksheet Problems with Answers PDF

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<h2 id="practice">Practice</h2>
<p><strong>1) Linear Graph Analysis</strong></p>
<ul>
<li>Examine the linear graph and find the y-intercept

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Practice

1) Linear Graph Analysis

Examine the linear graph and find the y-intercept and slope to write the equation in slope-intercept form (y=mx+b).
Y-intercept = (0,100)
Slope (m) = 3/9
Equation (y=mx+b): y=x+100
Linear graph coordinates: (42, 148)

2) Linear Relation Table

The table represents a linear relation. Find the y-intercept and slope to write the equation in slope-intercept form (y=mx+b).
Y-intercept = 4
Slope (m) = 7
Equation (y=mx+b): y=7X+4

3) Writing Linear Equations

Write the slope-intercept form of the equation of the line through the given point with the given slope: (1, 2), slope = 7
Equation: y = 7x - 5

4) Writing Linear Equations Part 2

Write the slope-intercept form of the equation of the line through the given point with the given slope: (3, -1), slope = -1
Equation: y=-x+2

5) Writing Linear Equations Part 3

Write the slope-intercept form of the equation of the line through the given point with the given slope: (-2, 5), slope = -4
Equation: y=-4x-3

6) Writing Linear Equations Part 4

Write the slope-intercept form of the equation of the line through the given point with the given slope: (3,5), slope = 1
Equation: y = 3x + 0

7) Finding the Equation through Two Points

Find the slope first and then write the slope-intercept form of the equation of the line through the given two points: (0, 3) and (-4,-1)
Equation: y=x+3

8) Finding the Equation through Two Points Part 2

Find the slope first and then write the slope-intercept form of the equation of the line through the given two points: (0, 2) and (1, -3)
Equation: y=-2x+2

9) Finding the Equation through Two Points Part 3

Find the slope first and then write the slope-intercept form of the equation of the line through the given two points: (-4, 0) and (1,5)
Equation: y=x+4

10) Finding the Equation through Two Points Part 4

Find the slope first and then write the slope-intercept form of the equation of the line through the given two points: (0, -1) and (-2, -1)
Equation: y=-1

11) Finding the Equation through Two Points Part 5

Find the slope first and then write the slope-intercept form of the equation of the line through the given two points: (5, 3) and (4, 5)
Equation: y=-2x+13

12) Finding the Equation through Two Points Part 6

Find the slope first and then write the slope-intercept form of the equation of the line through the given two points: (-3, 5) and (3, 4)
Equation: X=-3

Summary - Math

The worksheet includes problems for finding the y-intercept and slope in linear graphs
Students practice writing the equation in slope-intercept form (y=mx+b)
Linear equations are also written from given points and slopes
The worksheet covers finding the equation through two points using the slope-intercept form
Students will learn to analyze linear graphs, tables, and equations in slope-intercept form

Uploaded by Chelsea

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Frequently asked questions on the topic of Math

Q: What is the y-intercept and slope of the linear graph with coordinates (42, 148)?

A: The y-intercept is 100 and the slope is 3/9. Therefore, the equation in slope-intercept form is y=x+100.

Q: What is the y-intercept and slope of the linear relation table equation y=7x+4?

A: The y-intercept is 4 and the slope is 7. This gives us the equation in slope-intercept form as y=7x+4.

Q: Write the slope-intercept form of the equation through the point (1, 2) with a slope of 7.

A: The equation in slope-intercept form is y=7x-5.

Q: Find the equation in slope-intercept form through the point (3, -1) with a slope of -1.

A: The equation in slope-intercept form is y=-x+2.

Q: Determine the slope and write the slope-intercept form through the point (-2, 5) with a slope of -4.

A: The equation in slope-intercept form is y=-4x-3.

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Slope-Intercept Worksheet