Please help!!!!!!!!!!!!
1 answer:
You might be interested in
Answers:
1) The Equation of a Line is:
(1)
Where:
is the slope
is the y-intercept
For this problem we have a given and a given
So, we only have to substitute this values in the equation (1):
This is option B
2) Here we have to find the slope and the y-intercept
of this equation:
According to the explanation in the first answer related to the equation (1), the slope of this line is:
And its y-intercept is:
This is option C
3) We have to Equations of the Line, and we are asked if these are parallel:
(a)
(b)
Equation (b) has to be written in the same form of (a), in the form in order to be able to compare both:
(c)
There is a rule that establishes that <em><u>Two lines are parallel if they have the same slope</u></em>. In this case, if we compare equations (a) and (c) we find they don’t have the same slope, then <u>they are not parallel</u>.
4) Here we are asked to write in a standard form with integers:
Multiply each side by 5:
In this case none of the options apply, please check if the question was written correctly.
5) In this question we are asked to write an equation parallel to:
(2)
That passes through the given point (3,11). <u>(Notice that in the Cartesian plane the points have an x-component and a y-component)</u>
First, remember that <u>two Equations of the line are parallel when they have the same slope</u>. Now that this is clear, we are going to use the equation of the slope with the given point to find the parallel equation:
Equation of the slope:
(3)
From (2) we know the slope is 2, then we only have to substitute this value and the points in (3):
Finally:
This is option B