The equation of the graphed line in point-slope form is? , and it’s equation in slope-intercept form is?

ANSWER

Point-slope form:

Slope-intercept form:

EXPLANATION

The graphed line passes through

The slope of this line is determined using

We substitute the points to get;

The point-slope formula is:

Substitute the first point and slope to get:

To find the slope-intercept form, we expand to get:

Slope

point-slope form

slope-intersection form

Step-by-step explanation:

The equation of a line in the point-slope form has the following formula:

Where m is the slope and is a point belonging to the line.

The equation of a line in the slope-intersection form has the following formula:

Where b is the intersection of the line with the y axis.

To calculate the slope of the line knowing 2 points we use the following formula:

In this case:

So

So the equation of a line in the point-slope form

The equation of a line in the slope-intersection form is:

with

The hourly fee is $ 3.

Step-by-step explanation:

Given,

The initial fee = $ 43,

Let x be the additional hourly fee ( in dollars ),

Thus, the total additional fee for 7 hours = 7x dollars,

And, the total fee for 7 hours = Initial fee + Additional fee for 7 hours

= ( 43 + 7x ) dollars,

According to the question,

43 + 7x = 64

7x = 21      ( Subtracting 43 on both sides )

x = 3          ( Divide both sides by 7 )

Hence, the hourly fee is $ 3.