What is the equation of a line through the points (0, 9) and (3, 0)?

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.

x/(x-intercept) +y/(y-intercept) = 1

x/3 +y/9 = 1

Multiplying by 9 gives ...

3x +y = 9

This can be rearranged to the slope-intercept form ...

y = -3x +9

_____

The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

kakasveta [241]3 years ago

4 0

Answer:

because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

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