Write the slope-intercept form of the equation of the line described.

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

just needed some points but try socratic

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.