Question

Find the equation of the line:
parallel to the x-axis passing through the point (-3;4)

Answer 1

y=4

Explanation:

Since any two parallel lines have the same slope we know the slope of the unknown line is 0 (its from the slope of y=0(x)+0 which is also 0).

Also since the unknown line goes through (3,4), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y−y

1

​

=m(x−x

1

​

) where m is the slope and (x

1

​

,y

1

​

) is the given point.

Now substituting the values:

y−4=0(x−3)

⇒y−4=0

⇒y=4

Hence, the equation of the line is y=4.