The points (8, - 4) and (10,n) fall on a line with a slope of 4. what is the value of n?

n = 4

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (8, - 4 ) and (x₂, y₂ ) = (10, n )

m = =

now m = 4, hence

= 4 ( multiply both sides by 2 )

n + 4 = 8 ( subtract 4 from both sides )

n = 4

If a slope of the line is 4, then the equation of the line is

y=4x+b.

This line passes through the point (8,-4), this means that coordinates of this point satisfy the equation:

-4=4·8+b,

b=-4-32,

b=-36.

Thus, the equation of the line is y=4x-36.

Now, substitute the coordinates of the point (10,n) into the equation:

n=4·10-36,

n=40-36,

n=4.

n=4.

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step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )