Reese: Linear Equations and Lines of Best Fit

Linear Equations and Lines of Best Fit

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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.

Please see me with questions.

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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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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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

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