Question

Find the equation of the line specified. The line passes through the points ( 5, 2) and ( 6, 4) a. y = 2x - 8 c. y = 2x + 12 b. y = 4x - 8 d. y = 2x + 2 Please select the best answer from the choices provided A B C D

Answer 1

( 5, 2) and ( 6, 4)
slope m = (4-2)/(6-5) = 2

y = mx + b
b = y - mx
b = 2 - 2(5)
b = 2 - 10
b = -8

so now you have slope m = 2 and y intercept b = -8

equation
y = 2x - 8

answer
a. y = 2x - 8

Answer 2

The equation of the line is y = 2x - 8 which passes through the points (5, 2) and (6, 4) option (a) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

m is the slope of the line.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The points are  (5, 2) and (6, 4)

[y - 4] = (4-2)/(6-5)[x - 6]

[y - 4] = 2[x - 6]

y - 4 = 2x - 12

y  = 2x - 12 + 4

y = 2x - 8

Thus, the equation of the line is y = 2x - 8 which passes through the points (5, 2) and (6, 4) option (a) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

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