Linear Equations and Lines of Best Fit

Linear Equations and Lines of Best Fit

Each question on this Quizizz Review is followed by the complete solution. Check your answers.

Your answers may be marked incorrect when they are right if inputted differently but are correct.

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Multiple Select

Which points are solutions for the graph?

• (2,10)

• (-6,4)

• (2,0)

• (-6,-10)

Solutions are points on the line

Points not on the line are not solutions

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Write the equation of a line, in slope-intercept form, with a slope of 3 and y-intercept of 5

The slope is 3 so m=3

The y-intercept is 5 so b = 5

use those numbers in y=mx + b as seen to the right

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Find the slope of the line

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Find the y-intercept of the line

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Write the equation of the line in slope-intercept form

Use your earlier answers in y = mx + b

y = -4/3x - 1

The b is -1 because the line crosses the y-axis at -1

The slope can be determined using the rise over run to the right or the slope formula for points (0,-1) and (-3,3) -> both yield -4/3

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Write the equation of a line that has a slope of 2 and passes through (-3,5)

the m is given -> m=2

the b is found as shown -> b = 11

Put in y = mx + b

Answer: y = 2x + 11

Replace the m and x and y from the point in y=mx+b to find the b of the line (on right)

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Write the equation of a line that passes through (2,2) and (3,4)

Find m, then b and finally put those answers into y=mx+b

- Find m with the slope formula

- Find b by using m, x and y in y=mx+b and solving for b

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How do you write the equation of a line for the line of best fit?

Example for finding the equation of the two points on the line of best fit

Follow the same steps as writing the equation of a line given two points in the previous example (also to the right)

Multiple Choice

When asked to write the equation of a line parallel to another you must...

• Use the same slope as the line that is parallel to it

• Use an opposite slope of the line it is parallel to

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Write the equation of a line that passes through (2,5) and is parallel to the line y = -2x + 7

Use the same m as the parallel equation. in this problem, m=-2

Then find the b using the same steps as finding the equation of a line given a point and slope with the slope of -2 and passing through (2,5)

Multiple Choice

When asked to write the equation of a line perpendicular to another you must...

• flip the fraction

• change the sign

• flip the fraction and change the sign

Fill in the Blanks

What is the equation of a line that is perpendicular to y = -2x + 7 and passes through (6,2)

Since the line is perpendicular to y=-2x+7 the perpendicular slope is +1/2 (flipped and sign change

Then follow same steps as writitng the equation of a line given a point and slope (answer to right)

Multiple Choice

Which point is a solution to 6x-3y=12?

• (-4,1)

• (1,-2)

Substitute x and y from the point into the equation

If it gives two equal numbers then it is a solution

If the numbers are not equal then it is not a solution