What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3? ANSWER NEEDED ASAP!!

Question

03-01-2022
Mathematics

Answered

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What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3? ANSWER NEEDED ASAP!!

Sagot :

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Jimthompson5910idn Jimthompson5910idn · Answer 1 · 2022-01-03T21:38:03-05:00

Answer: [tex]y = -\frac{1}{3}x + 5\\\\[/tex]

Work Shown:

[tex]y - y_1 = m(x - x_1)\\\\y - 3 = -\frac{1}{3}(x - 6)\\\\y - 3 = -\frac{1}{3}x + \frac{1}{3}*6\\\\y - 3 = -\frac{1}{3}x + 2\\\\y = -\frac{1}{3}x + 2+3\\\\y = -\frac{1}{3}x + 5\\\\[/tex]

This line has a y intercept of 5, which means (0,5) is on the graph along with (6,3). The line moves downhill when moving left to right, because the slope is negative.

Sagot :

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