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Juli2301 [7.4K]
3 years ago
9

Which properties were applied in steps 1 and 3

Mathematics
1 answer:
nevsk [136]3 years ago
4 0
C - Associative then Distributive

Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through

5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
85z+145
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Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into
yulyashka [42]

The equation of the line is  y = (3/5)x + 26/5

<u>Step-by-step explanation:</u>

  • The line passes through the point (2,-4).
  • The line has the slope of 3/5.

To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.

<u>The equation of the line when a point and slope is given :</u>

⇒ (y-y1) = m(x-x1)

where,

  • m is the slope of the line.
  • (x1,y1) is the point (2.-4) in which the line passes through.

Therefore, the equation of the line can be framed by,

⇒ (y-(-4)) = 3/5  (x-2)

⇒ (y+4) = 3/5(x-2)

Take the denominator 5 to the left side of the equation.

⇒ 5(y+4) = 3(x-2)

Now, multiply the number outside the bracket to each term inside the bracket.

⇒ 5y+20 = 3x -6

⇒ 5y = 3x-26

Divide by 5 on both sides of the equation,

⇒ y = (3/5)x + 26/5

Therefore, the equation of the line is  y = (3/5)x + 26/5

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2 years ago
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