Question

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

Answer 1

Answer:

y-4=3(x-5)

Step-by-step 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)

Answer 2

Answer:

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

Step-by-step 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:

$\rightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }$

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.