Linear Relations week 2

Question 1

State the slope-intercept form of an equation for a line

Answer 1

y = mx + b

Question 2

in y = mx + b, what does the ‘y’ represent?

Answer 2

It is the dependent value (dependent on X axis, represents Y axis)

Question 3

in y = mx + b, what does the ‘m’ represent?

Answer 3

Represents the slope value

m = rise (Y value) / run (X value)

Question 4

in y = mx + b, what does the ‘x’ represent?

Answer 4

It is the independent variable (X value)

Question 5

in y = mx + b, what does the ‘b’ represent?

Answer 5

Y intercept. Where on the Y axis the line intercepts.

Question 6

List the steps for graphing a linear equation:

Answer 6

1. Need ‘m’ (slope) and ‘b’ (y intercept) values
2. Start by plotting b value
3. Use slope to count rise and run
4. Repeat.

Question 7

Find the m value and the b value:

y = 3/2x - 4

Answer 7

m = 3/2
b = -4

Question 8

What indicates the m value

Answer 8

Any number (typically a fraction) attached to the x variable

Question 9

What indicates the b value

Answer 9

Usually standing alone, with a negative (-) or positive (+) sign in front of it

Question 10

What is the constant in a linear equation? What is the output?

Answer 10

y is the output

b is the constant

Question 11

how do we convert from a standard equation to slope y-intercept form?

Answer 11

Isolate the y on the left side, bring over all remaining terms

Question 12

Convert the following standard equation to slope y-intercept from.
Find the m value and the b value.
2x + y - 4 = 0

Answer 12

2x + y - 4 = 0
y - 4 = -2x
y = -2x + 4

m = -2/1
b = 4

Question 13

Convert the following standard equation to slope y-intercept from.
Find the m value and the b value.
4x + 2y + 6 = 0

Answer 13

4x + 2y + 6 = 0
2y + 6 = -4x
2y = -4x - 6
y = -4x/-2 - -6/-2
y = 4/2x -3

m = 2/1
b = -3

Question 14

Convert the following standard equation to slope y-intercept from.
Find the m value and the b value.
3x + 2y - 8 = 0

Answer 14

3x + 2y - 8 = 0
2y - 8 = -3x
2y = -3x + 8
y = -3x/-2 + 8/-2
y = -3/2x - 4

m = -3/2
b = -4

Question 15

Convert the following standard equation to slope y-intercept from.
Find the m value and the b value.
4x + y = 16

Answer 15

4x + y = 16
y = -4x + 16

m = -4/1
b = 16

Question 16

what is a fixed cost?

Answer 16

b value

Question 17

what is a variable cost?

Answer 17

m value

Question 18

How do we use intercepts to graph lines?

Answer 18

• to find the x intercept we substitute 0 in for y and solve. (X,0)
• To find the y intercept we substitute 0 in for x and solve. (0,Y)

Question 19

Find the X intercept:

2x - y = 6

Answer 19

2x - 1(0) = 6
2x = 6
x = 6/2
x = 3
(3,0)

Question 20

Find the Y intercept:

2x - y = 6

Answer 20

2(0) - y = 6
-y = 6
y = 6/1
y = 6
(0,6)