How do you write an equation of a line going through (1,7) parallel to the x-axis?
The equation of the x-axis is
We want the equation of a line parallel to this one. Parallel lines mean equal slopes, so by point-slope form we have:
Hence, the equation of the line is
Hopefully this helps!
The x-axis is a horizontal line. It has a slope of 0.
Any line parallel to the x-axis is therefore also horizontal and has a slope = 0.
The equation of any horizontal line is
The number is the y-intercept, and it stays the same, regardless of which value of x is used.
The point #(1,7) means that the y-value is 7, the line will also go through 7 on the y-axis, therefore this gives us the y -intercept,
Now we have: