Graph y-4=-2/5(x-1)using the point and slope

Step-by-step explanation:

Comparing the given y-4=-2/5(x-1) with the standard point-slope formula for the equation of a straight line, we get

y-4=-2/5(x-1)

y-k = (-2/5)(x - 1).  Thus, k = 4 and h = 1, and so one point on this new line is (1, 4).

The slope is -2/5.

First, plot a dark dot at (1, 4).

Next, starting with your pencil point on that dot, move your point 5 units to the right and then 2 units down.  Plot a dark dot there.

Finally, draw a line through your two dark dots.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

the answer is  

a.

4,624π mm2

step-by-step explanation: