Ch3L5 Linear Equation-Standard Form

Question 1

When an equation is written in the form

Ax + By = C

Here A>=0 and A,B and C are integers.

Answer 1

in Standard form, we can find x-intercept and y-intercept:

Set x = 0, then y-intercept = C/B. so (0,y-intercept)

This is intersect point between this line and y-axles.

Set y = 0, then x-intercept = C/A. so (x-intercept,0)

This is intersect point between this line and x- axles.

Then we can draw this line easily using these two points.

Also , slope or m = -A/B. y-intercept or b = C/B, so we can transform standard to slope-intercept form too.

Question 2

how to transfor an equaiton from standard form

Ax + By = C

to slope-intercept form

y= mx+b

?

Answer 2

we can transform standard to slope-intercept form too.

Ax+By = C ->By = C-Ax . -> y = -Ax/B + C/B

slope or m = -A/B.

y-intercept or b = C/B

Question 3

Unity school wants to make $4740 from yearbooks by selling x copies of yearbooks and y copies of digital yearbook. Each yearbook they will charge $60 and each digital yearbook will charge $15. Write a non-standard form for this situation.

Question 4

Mr. Davis spent $230 on lunch for his class. Sandwiches x cost $6 for each and drinks y cost $6 on each. Write a non-standard form for this situation.

Question 5

A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 total juice boxes. This can be represented in function 6x + 8y = 288. What is the x-intercept and y-intercept?

Question 6

The total number of legs, 1500, on four-legged and two-legged animals in a zoo can be represented by equation 4x + 2y = 1500. What is the x-intercept and y-intercept?

Question 7

Mrs.Hodges spent $80 on movie tickets and drinks for her son and his friends. The total cost of x movie tickets and y drinks is represented by the equation 8x+4y = 80. What does 8 stands for? and what does 4 stands for?

And what is the x-intercept and y-intercept?

How to graph this equation?

Question 8

What the x-intercept and y-intercept of

3x - 4y = 12

Question 9

The perimeter of a rectangle that is x units wide and y units long is 24 centimeters.

write an equation in standard form for the perimeter.

Question 10

How to calculate x-intercept and y-intercept for a linear equation?

How to graph the line using x-intercept and y-intercept?

Answer 10

set variable x = 0, then use the equation to calculate to get y-intercept.

Se variable y=0, then use the equation to calculate x-intercept.

Connect (0,y-intercept) and (x-intercept,0) to draw the line.

Question 11

calculate x-intercept and y-intercept then draw the line

2x+3y = 24

Question 12

calculate x-intercept and y-intercept then draw the line

y = -2x -4

Question 13

calculate x-intercept and y-intercept then draw the line

5x+3y = 30