Question

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

y-

Answer 1

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)

Answer 2

`\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.