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Write an equation in point-slope form of the line that passes through the point (5, 4) with slope 3.

y-

Write an equation in point-slope form of the line that passes through the point (5, 4) with-example-1
User DaoLQ
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2 Answers

16 votes
16 votes

Answer:

y-4=3(x-5)

Explanation:

Use the equation of a line so,

(y-y₁) = m(x-x₁)

m=3

x₁=5

y₁=4

plug into the equation to get...

y-4 = 3(x-5)

User Nasim
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2.7k points
25 votes
25 votes

Answer:


\rightarrow \boxed{\sf{y-4=3(x-5)}}

Explanation:

A point slope form should be used.

Point-slope form:


\rightarrow \sf{y-y_1=m(x-x_1)}

The m represents the slope.

Also, slope-intercept formula and slope formula can be used.

Slope formula:


\rightarrow \sf{(y_2-y_1)/(x_2-x_1)=(RISE)/(RUN) }

Slope-intercept formula:


\rightarrow \sf{y=mx+b}

The m represents the slope.

The b represents the y-intercept.

In other words, slope-intercept form is y=3x-11.

Therefore, the correct answer is y-4=3(x-5).

I hope this helps you! Let me know if my answer is wrong or not.

User Gonzalo Contento
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3.0k points