Question

PLEASE IF U GET THE ANSWER SHOW UR WORK write the equation for the line that passes through the given point, and is parallel to the given line.

(-3,-1); x-2y = 5

Answer 1

y = 5x - 4

Explanation:

1. Parallel have the same slope (equation)

- Standard form of an equation of a line: y=mx + b

m = slope

x = x-coordinate

b = y-intercept

y = y-coordinate

SLOPE =
`(y_(2) -y_(1) )/(x_(2)-x_(1))`

Given that x-2y = 5

and the line has the point:

(-3,-1)

We need to find another point to find the slope

x - 2y = 5

Let's say x = 7 and y = 1

(7, 1)

Now plug it into the slope equation

`(-3-7)/(-1-1) = (-10)/(-2) = 5`

Plug the slope into the standard form of an equation of a line

y = 5x + b

Plug in (7,1)

1 = 5 + b

b = -4

The answer is: y = 5x - 4

Hope this helps :)

Have a great day!