Answer:
.
Step-by-step explanation:
A line that goes through
and
where
would have a slope of
.
The slope of the line that goes through
and
would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is
.
Thus, if
and
denote the slope of the first and second lines in this question,
since the two lines are perpendicular to one another. Since
, the slope of the first line would be:
.
Given that the first line goes through the point
, the point-slope equation of that line would be:
.
.
Substitute in
to find the
-coordinate of the point in question:
.
A) -2
a slope of a line perpendicular is it’s opposite and reciprocal.
Therefore you want to find the slope. You can do this by writing it in intercept form, or just knowing A/B since it’s in standard form.
slope form: y= mx + b
8y = -4 -4x
y = -1/2x -1/2
So the slope is -1/2 so it’s opposite and reciprocal would be 2. So a slope of a line perpendicular is -2.
b) -1/2
A line parallel would have the same slope as your equation. Since you know the slope -1/2 you know whatever your b value is, that line would be parallel as long as it has the same slope.
Answer:

Step-by-step explanation:
slope-intercept form: y = mx + b
Given:
Slope(m) = 
Point = (-1, 3)
To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:



Now that we know the values of b and m, we can write the equation:

24 thirds (24/3) or 8 (simplified)
The quotient is x^2
The remainder is 2
Step-by-step explanation:
We need to divide: 
The division is shown in figure attached.
The quotient is x^2
The remainder is 2
Keywords: Division of polynomials
Learn more about Division of polynomials at:
#learnwithBrainly