Need to find equation of a parallel line.?

Question

Hi... Can someone help me get started with finding the equation of a line parallel to the line 4x-5y-7=0? I found the slope, but I'm not sure how to apply it. Don't I need a set of x & y coordinates from the first equation. Thanks!!

Answer 1

4x-5y-7=0
Standard form Take this form and change it to slope intercept form. As follows:
Subtract 4x from both sides
-5y-7=-4x
Add 7
-5y= -4x-7
Divide by -5
y= 4/5x (- / a - is positive) 7/5

x is your slope. 4/5 You are trying to find an equation of a parallel line. Parallel lines have the same slope. I would put this in point slope form Y-y1=m(x-x1), use the intercept 0,7/5 as your pint
Y-7/5=4/5(x-0) Distribute
Y-7/5=4/5x
Add 7/5 to both sides
Y=4/5x + 7/5 Done

Answer 2

4x-5y= 7

y=4/5 x - 7

there are so many lines parallel to y=4/5x-7

since y-intercept is at -7, the equation of the most distinct line parallel tp y=4/5x-7 is y=4/5x

remember : the slope of parallel lines are equal. but they have different y-intercept.

y=4/5x+3 is also parallel to 4x-5y-7=0 ,

so if u want parallel lines to 4x-5y-7=0 ,

u need find slope. then, write equation in y= mx-c,

where m is equal to 4/5 according to problem given. then write 'c'

as u like. the easiest way is y= 4/5x , where 'c' becomes 0.

Answer 3

4x - 5y - 7 = 0
-5y = -4x + 7
y = (4/5)x - (7/5)

Any equation with (4/5) as the slope and with a y-intercept other than (-7/5) is parallel to 4x - 5y - 7 = 0

Answer 4

Slope and Parallel Lines

1. If two nonvertical lines are parallel, then they have the same slope.

2. If two distinct nonvertical lines have the same slope, then they are parallel.

3. Two vertical lines are parallel.

Example. Write an equation of the line passing through (-3,2) and parallel to the line with equation y = 2x + 1.

Solution. The equation y = 2x + 1 is in Slope-Intercept Form, with m = 2. So, the slope of this line is 2. Since our line is parallel to this given line, it must have the same slope (part 1 of Slope and Parallel Lines). Therefore, we are to find the equation of a line with slope 2 passing through the given point (-3,2).

Point-Slope Form
Substitute: m = 2,
y – 2 = 2(x + 3) Simplify
y – 2 = 2x + 6
y = 2x + 8 Solve for y


The equation of the line is y = 2x + 8.

Answer 5

The equation K(4x -5y -7) = 0 where K is any Real Number.

Answer 6

If you have the slope, it is the same slope for parallel lines. You need at least one point that the second line crosses through. You can write out the equation using point-slope form (which you can later solve to find standard form).

Point Slope Form for (2,3) and slope 3 (example equation)
(Y-3)=3(X+2) Solve to get standard form.

Answer 7

line parallel to 4x-5y-7=0
so slope=4/5
so the equation will be 4x-5y+C=0
ifa point through which it passses is given we can find out C

Answer 8

Parallel would be the same slope. X, Y & the intercept don't matter.