Find equation of line parallel to 2x+5y=8 at point (-1,0)

Lines are parallel if they have the same slope. In order to write a new equation parallel to the one we are given, we have to know the slope of the line we are given. Solve it for y:

so

.

That means that the slope of the given line is -2/5. We will now use the point we were given and fill in the slope-intercept form of a line with the x coordinate of -1 and the y coordinate of 0:

so

and

.

Now that we have the slope and the y-intercept (the b value we just solved for), we can write the new equation:

.

There you go!

the correct answer is d

hope this

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