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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.
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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.
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