Answer:

Step-by-step explanation:
The standard form of a linear equation is
.
The given line has equation:

This is the point-slope form of the given line.
To find the standard form, we clear the fraction

We expand the parenthesis now to get:

We group the variables on the LHS and the constants on the RHS.


Multiply through by -1

This is of the form:
.
Answer:
The graph of
is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.
Step-by-step explanation:
When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.
And the vertically change between two values is also called the rise.
The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.
For example, consider the equation


Here fore every two units of x-values, one units are moved on the y-axis.
In other words, there is a change of only one unit on the y-axis for every two units of x-values.
The graph of
is also attached below which is showing this.
Answer: 4.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Janet ⇒ 3 postcards ⇒ $1.05 </u>
- Cost of postcard: 1.05/3 = $0.35
<u>Rosi ⇒ 5 postcards ⇒ $1.75 </u>
- Cost of postcard: 1.75/5 = $0.35
<u>Tanya ⇒ 8 postcards ⇒ $2.80</u>
- Cost of postcard: $2.80/8 = $0.35
<u>We see in all 3 cases cost of postcard is same, the cost and numbers are proportional and the relationship is:</u>