# Write two point-slope equations for the line passing through the points (6, 5) and (3, 1)

Two point-slope equations for the line passing through the points

(6, 5) and (3, 1) are,

Point-slope equations
• Point-slope exists in the general form y-y₁=m(x-x₁) for linear equations. It underlines the slope of the line and a point on the line (that exists not the y-intercept).
• The slope formula exists utilized to calculate the inclination or steepness of a line. It discovers application in choosing the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis. The slope of a line exists defined as the change in the "y" coordinate concerning the change in the "x" coordinate of that line.

Here, the line passes through the points (6,5) and (3,1).

Let,

Substitute

Slope(m) =

Slope(m) =

Point-slope equations of the line passing through and

Substitute, and into

(point-slope equation)

Substitute, and into

(point-slope equation)

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Point-slope equations:

y - 5 = 4/3 (x - 6)

or

y - 1 = 4/3 (x - 3)

Step-by-step explanation:

Given two coordinate points (6, 5) and (3, 1)

Slope = (5 - 1)/(6 - 3) = 4/3

Point-slope equations:

y - 5 = 4/3 (x - 6)

or

y - 1 = 4/3 (x - 3)

## Related Questions

PLEASE HELP WILL MARK BRAINLIEST What is the solution to 2x2 + 3x - 1 = 0?

Step-by-step explanation:

X=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Joanna ran a mile in physical education class. After resting for one hour, her heart rate was 60 beats per minute. If her heart rate decreased by 2/5 what was her heart rate immediataly after ahe ran the mile?

Let

x------> Joanna's heart rate immediately after ran the mile

we know that

therefore

3x -9 =7x + 12
Find X

Simple....

you have:

3x-9=7x+12

To even solve this....isolate the variable your are trying to solve for....

3x-9=7x+12
-3x    -3x

-9=4x+12

-9=4x+12
-12     -12

-21=4x

Simplify.....