Question

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

Answer 1

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:

`5y=-2x+8` so

`y=-(2)/(5)x+(8)/(5)`.

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:

`0=-(2)/(5)(-1)+b` so

`0=(2)/(5)+b` and

`b=-(2)/(5)`.

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

`y=-(2)/(5)x-(2)/(5)`.

There you go!