Agiven line has the equation 10x+2y=-2.
what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,12)?
y=+12

The equation of the line is

Step-by-step explanation:

Step 1

Find the slope of the given line

we have

Isolate the variable y

The slope of the given line is

Step 2

Find the slope of the line that is parallel to the given line

we know that

if two lines are parallel, then their slopes are the same

so

----> slope of the given line

----> slope of the line parallel to the given line

Step 3

Find the equation of the line parallel to the given line that passes through the point

we know that

the equation of the line in slope-intercept form is equal to

where

m is the slope of the line

b is the y-intercept (value of y when the value of x is equal to zero)

In this problem we have

-------> this is the y-intercept

so

substitute

the equation of the line is

hiking down a winding trail.

step-by-step explanation: