math question math

Question

What is the equation of the line that passes through the point (4,8) and has a slope of 0

Answer 1

Hi, Porter!

So, If you don't already know this, or just don't remember, I will inform/remind you that a line with a slope of 0 will always be a horizontal line. All vertical lines have a slope that is Undefined.

With that in mind, we now know that our line is horizontal because the question tells us that the slope is zero. Now, on graph paper, sketch the coordinate plane with the x and y axes, then draw a horizontal line on that coordinate plane, anywhere you want....

You should see that the line will never intersect the x-axis. It only intersects the y-axis at one point.

So, now plot the point located at (4,8). After you plot that point, draw a horizontal line through that point. Where does it cross/intersect the y-axis?

At positive 8, right? In fact, if you pick any random point along that line, the y-value in your ordered pair will always be 8.

So, if you right the equation of this line in slope-intercept form (y = mx + b), and your slope (m) is 0 and your y-intercept (b) is 8, then here is the equation of the line:

y = 0x + 8

y = 8

I hope this explanation helped.