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

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

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

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

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)

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

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

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

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