find the equation of a line 7x-2y=-3 (-21, 9)

Answer 1

7x-2y = -3 (-21,9)

y=7x/2 + 3/2 slope = 7/2, the coefficient of the x term when solved for y

y-9 = (7/2)(x+21) is the equation of a parallel line through the given point, in point slope form

or

y = 7x/2 + 147/2 +9

y= 7x/2 + 165/2 in slope intercept form

2y=7x +165

7x-2y = 165 in general form

Answer 2

Let me help you with this question.

I will making several assumptions ot this question due to the lack of detail.

1. We are finding the equation of the line parallel to 7x-2y=-3, while intersecting (-21,9)
2. The answer will be in slope-intercept form

First change the given formula to slope-intercept form.

7x - 2y = -3

-2y = -7x -3

y = 7x/2 +3/2

Since we're finding the line parallel to the given formula, keep the slope only.

y = 7x/2 + b

Put the point (-21,9) into the equation, and find the value of the intercept.

y = 7x/2 + b

9 = 7(-21)/2 + b

9 - (7)(-21)/2 = b

b = 165/2

Thus, the answer will be...

y = 7x/2 + 165/2