Answer:
The equation of the line is.

Step-by-step explanation:
Given:
The given points are (0, -4) and (-4, 6)
The equation of the line passing through the points
and
is.

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is







The above equation is divided by 2 both sides.


Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is 
Answer:
The line passing through (-8, 10) and (-1, 4).
Step-by-step explanation:
Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is
, so we should find a line with slope of
.
Note that the slope of the line in the last option is
.
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as

Then, the greater absolute value of n, the steeper the parabola.
It can be written as


where
, the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, 
For option B, 
For option C, 
For option D, 
Since, the equation is option A has smallest value of |p|, therefore, the equation
represents the steepest parabola.
Hence, the correct option is A.
Answer:
5p-q = 5. (-6) - 5 = -30 - 5 = -35
5pq= 5. (-6) . 5 = -30 . 5 = -150
Step-by-step explanation:
Answer:42
Step-by-step explanation: