The slope-intercept form of the equation of a line that passes through point (-3, 8) is y=-2/3x+6. What is the point-slope form
of the
equation for this line?
equation for this line?
1 answer:
Answer:
b. y - 8 = -2/3(x + 3)
Step-by-step explanation:
Well point-slope form takes one point in this case (-3,8) and puts it into the equation.
So this is point slope form,
The 2 negatives in the -y and -x means you have to change the number to a negative to a positive to a negative.
We plug in (-3,8) to the equation.
y - 8 = m(x + 3)
Well we change the -3 to a 3 because of the negative.
So with the given slope -2/3 we plug that in for m.
y - 8 = -2/3(x + 3)
<em>Thus,</em>
<em>answer choice b is correct.</em>
<em />
<em>Hope this helps :)</em>
You might be interested in
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.