Finals Study Guide

Question 1

Linear equation

Answer 1

y=mx+b

Question 2

Point-Slope form

Answer 2

y-y₁= m(x-x₁)

m is the given slope

coordiante ( x₁, y₁)

ex: m: 5 coordinate: (4,6)

Equation: y-6=5(x-4)

Question 3

Standard form

Answer 3

Ax+ By=C

• ABC are real numbers
• A can not be negative
• B can’t be zero

Question 4

How do you find the x and y intercept from two points

Answer 4

make x a 0 to find the y intercept

make y 0 to find the x intercept

Question 5

How do you know if two equations are parralell?

Answer 5

If the slopes is the same

Question 6

Vertical lines on a graph means that the slope is what?

Answer 6

There is no slope, the slope is undefiened

Question 7

Parallel equations are equations with the same______.

Answer 7

Parralell equations are equations with the same slope

To make a parallel equation, make the slopes the same

Question 8

To make a perpendicualr equation make one slope a recipracal of the other

Answer 8

If the slopes of two lines are m and -1/m they are perpendicular

Question 9

What is an inequality?

Answer 9

An inequality is a statements that two expressions are not equal. (self-explanatory) :)

Question 10

a

Answer 10

a is less than b

Question 11

a>b means what?

Answer 11

a is greater than b

Question 12

> and < means what?

Answer 12

(in order)

> means greater than or equal to

10_>_5

< means less than or equal to

5_<_10

Question 13

b

Answer 13

a is greater than b and less than c

Question 14

> or < when graphing on a number line the circle will be____.

> or < the circle will be _____.

Answer 14

>or< open circle

>or< closed circle

Question 15

> or > the line will go to the ______.

< or < the line will go to the _______.

Answer 15

> or_>_ the line is →

< or< the line is <——

Question 16

What hapens to an inequality symbol if an equation is multiplied or divided by a negative number?

Answer 16

if an inequality is multipled or divided by a negative number, the inequality symbol reverses.

Question 17

how to solve an equation by graphing:

Answer 17

1. ONLY USE WHEN BOTH EQUATIONS ARE IN SLOPE INTERCEPT FORM
2. Graph slope-intercept first, then rise over run
3. Solve by graphing on a calulator. put in y=, window adjust(if needed), 2^cd calculator, push enter 3 times and it’ll give you the slope intercept

Question 18

how do you solve an equation by graphing?

Answer 18

Both equations have to be in y=mx+b form.

Graph slope0intercept first, rise over run

dolve by graphing on a calculator. put in y=, window (adjust if nessaccary), 2^cd calc, push 5, hit enter 3 times

The answer is written in a coordinate where they intercept.

Question 19

how do you solve an equation from subsitution?

Answer 19

Form: y=Ax+By=C

x=Ax+By=C

Only use when one of the equations give you a coordinate for x an/or y.

Question 20

How do you solve an equation by using the elimination method?

Answer 20

Form: Ax+By=C

Ax+By=C

Only use when both equations are in Standard form ( Ax+By=C. where ABC are real numbers.