A linear function is parallel to the line y= 4x + 8 and also goes through the point (2,15).What is the linear equation for this
1 answer:
When written in the form, the slope of a line is given by the coefficient
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope of a line and one of its points
, the equation of the line can be derived from the following formula:
Which in your case becomes
Expand the right hand side and solve for y:
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Answer:
a)
b)
c) They'd have lost $1000 if they had sold no calendars.
Step-by-step explanation:
a) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.
Then, according to the exercise, the line passes through these two points:
and
Then, we can find the slope of the line with the formula
Now, we can substitute the slope and one of those points into and solve for "b":
Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:
b) The slope of the line is the profit they made from selling each calendar
c) The y-intercept is the amount they would have lost if they had sold no calendars:
They'd have lost $1000 if they had sold no calendars.