What’s the equation of a line with a slope of 0 that passes through the point (3,10)?

Answer 1

y = mx + b

m is slope so it equals 0

therefore the equation becomes, y =b

The coordinates of (3,10) shows that the line passes through y=10, and therefore the equation is y=10.

Answer 2

Maya, let's think about that. I'll give you two hints. First realize this is a horizontal line, right?

y = mx + b

With m, the slope, being 0, if you graph this line, what is b, the y-intercept? Remember that mathematicians are lazy so we don't write things like 0x; we just leave it out.

And/or, if I draw a horizontal line, what is true of ALL the points on that line? It'll give you the equation of a horizontal line.

You got this!