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Math8 Chapter 2: Linear Equations and Slope Review, Study Guides, Projects, Research of Linear Algebra

A math worksheet focusing on linear equations, graphing lines, and determining slope and y-intercepts. Students are asked to complete various exercises, including identifying slopes and y-intercepts, sketching lines, and converting equations to slope-intercept form.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/27/2022

francyne
francyne 🇺🇸

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Math8 Chapter 2 Mrs. Hallahan Page 1
Name: ________________________________ Class 8-___ Date: ________
Graph Linear Equations and Slope and Slope Intercept Test Review
Due Friday 11/22 Due Monday 11/25, Test Tuesday 11/26/19
(this pg to q#7) (q#8 to end, q#14)
Complete the chart below, using your notes and your textbook
Define Linear Equation:
State the Slope Intercept form of a
line:
How many solutions are there to a
Linear Equation:
Describe the Solutions to a Linear
Equation:
State the Standard Form of a line:
Describe Slope:
Sketch a line with a positive slope
State the Slope Formula
Sketch a line with a negative Slope:
The slopes of parallel lines are
always:
Sketch a line with a slope of zero:
The slopes of perpendicular lines are
always:
Sketch a line with an undefined slope:
If you refer to the x values as each
of the following, give the
corresponding term for the y values
X
Y
Input:
Independent:
Domain:
State two ways you know if an
equation is a linear equation:
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Name: ________________________________ Class 8-___ Date: ________ Graph Linear Equations and Slope and Slope Intercept Test Review Due Friday 11/22 Due Monday 11/25, Test Tuesday 11/26/ (this pg to q#7) (q#8 to end, q#14) Complete the chart below, using your notes and your textbook Define Linear Equation: State the Slope Intercept form of a line:

How many solutions are there to a Linear Equation: Describe the Solutions to a Linear Equation:

State the Standard Form of a line:

Describe Slope: Sketch a line with a positive slope

State the Slope Formula Sketch a line with a negative Slope:

The slopes of parallel lines are always:

Sketch a line with a slope of zero:

The slopes of perpendicular lines are always:

Sketch a line with an undefined slope:

If you refer to the x values as each of the following, give the corresponding term for the y values

X Y Input: Independent: Domain:

State two ways you know if an equation is a linear equation:

Question#1: State the slope & the y-intercept of line below. Then write the equation of the line in slope intercept form (y=mx+b form)

Slope = _______________

Y-intercept = ___________

Equation of the line: ________________

Question #2: State the slope & the y-intercept of line below. Then write the equation of the line in slope intercept form (y=mx+b form)

Slope = _______________

Y-intercept = ___________

Equation of the line: ________________

Question#3: What is the slope of the line below:

Question#4: What is the slope of the line below:

Question #7: Rewrite each equation in slope-intercept form (Solve for y), and them identify the slope (m) and the y-intercept (b)

Question#8: Identify the slope and the y-intercept of the line whose graph is shown below. Then write the equation of the line in slope intercept form.

  1. m = ___________________ b = _________________ equation of the line: ____________________________
  2. m = ___________________ b = _________________ equation of the line: ____________________________
  3. m = ___________________ b = _________________ equation of the line: ____________________________
  4. m = ___________________ b = ________________ equation of the line: ___________________________

Question#9: Sketch a graph of each line below. Remember you must first work to put each equation in slope intercept form.

9A) y = 2x-4 9B) 6x + 3y = 12

Question#10: Look at each equation in question 9; which is in Standard Form, and which is in Slope- Intercept form? Explain.

Question#11: Write the slope intercept form of each line with the given slope and y-intercept:

11A) slope = 5, y-intercept = 0 11B) slope = 2/3 and y-intercept = 4

Question#14: Write the equation of the line, in slope intercept form, that is represented by the following Table of Values. Then graph on the coordinate plane below.

x Y

  • 3 - 11
  • 2 - 8
  • 1 - 5 0 - 2 1 1 2 4 3 7