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a line has a slope of 0 and passes through the point (10,6) write it’s equation in slope intercept form

1 Answer

3 votes

Answer:

y = 6

Explanation:

All horizontal lines have a slope of 0. Also, all horizontal lines have an equation in the form:

y = anumber

In your problem, the line has slope, 0. So its horizontal and the equation y = anumber, well, what is that number? Let's look at the point given: (10,6) this point is in the form (x,y)...so y is 6. That's the equation!

y = 6

Also, slope-intercept form of the equation is

y = mx + b

m is slope, so fill in 0. And because we know the point (10,6) is (x,y) we can fill in 10 for x and 6 for y.

6 = 0•10 + b

6 = b

Fill in 0 for m and 6 for b.

y = 0x + 6

y = 6

Same answer. I like the first way better. But the second way works for all kinds of lines.

User DaveCS
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