Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given the line
We know that the slope-intercept form of the line equation is
where m is the line and b is the y-intercept
Thus, the slope of line = -1/3
We know that parallel lines have the same slope.
Hence, the slope of the parallel line is also m=-1/3
So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept
Switch sides
Thus, the equation line in slope-intercept form
8)
Given the line
We know that the slope-intercept form of the line equation is
where m is the line and b is the y-intercept
so the slope of line = 1/4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: -4
Thus, subtituting m = -4 and (-1, 4) in the point-slope form
writing the point-slope form in the slope-intercept form
add 4 to both sides