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Answer:
An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:
Step-by-step explanation:
Given the points
- (-4,1)
- (4,3)
Finding the slope between the points (-4,1) and (4,3)
Refine
Point slope form:
where
- m is the slope of the line
- (x₁, y₁) is the point
in our case,
- m = 1/4
- (x₁, y₁) = (-4,1)
substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.
Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:
Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.
<span>Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45
To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.
Recall that the equation of a linear function satisfying two points
and 
is given by
Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
</span>
<span>Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45
To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.
Recall that the equation of a linear function satisfying two points
is given by
Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is