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Answer:
<em>y = 8.25x</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.
We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)
Computing the equation of the line we have:
Operating:
y = 8.25x
There is a proportional relationship.
The slopes of perpendicular lines are negative reciprocal to each other
ex. the negative reciprocal to 5/2 is -2/5
once you find the perpendicular slope, you plug in the point and slope into the point-slope form of a line and then rearrange it into the slope-intercept form to get your answer
point slope
slope intercept form
ex. the negative reciprocal to 5/2 is -2/5
once you find the perpendicular slope, you plug in the point and slope into the point-slope form of a line and then rearrange it into the slope-intercept form to get your answer
point slope
slope intercept form