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ser-zykov [4K]
2 years ago
5

Find the linear equations giving brainlest

Mathematics
2 answers:
Levart [38]2 years ago
6 0
<h2>17)  y = -4x + 2</h2>

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = -4x + 2

<u>When comparing both equations, we can observe that:</u>

  • "-4" takes the place as "m"
  • "2" takes the place as "b"

Therefore, the slope and the y-intercept are -4 and 2 respectively.

<u>Determining the coordinates of the y-intercept;</u>

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 2)

<h3>Final answers:</h3>
  • Slope = -4
  • Coordinates of y-intercept = (0, 2)

<u>________________________________________________________</u>

<h2>18)  y = x/7 - 5 </h2>

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = x/7 - 5

<u>When comparing both equations, we can observe that:</u>

  • "x/7" takes the place as "m"
  • "-5" takes the place as "b"

Therefore, the slope and the y-intercept are x/7 and -5 respectively.

<u>Determining the coordinates of the y-intercept;</u>

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, -5)

<h3>Final answers:</h3>
  • Slope = x/7
  • Coordinates of y-intercept = (0, -5)

<u>________________________________________________________</u>

<h2>19)  y = x + 3</h2>

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = 1x + 3              [x = 1x]

<u>When comparing both equations, we can observe that:</u>

  • "1" takes the place as "m"
  • "3" takes the place as "b"

Therefore, the slope and the y-intercept are 1 and 3 respectively.

<u>Determining the coordinates of the y-intercept;</u>

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 3)

<h3>Final answers:</h3>
  • Slope = 1
  • Coordinates of y-intercept = (0, 3)
Nady [450]2 years ago
4 0

Answer:

Step-by-step explanation:

Slope-intercept form of a linear equation: y = mx + b

  • m is the slope
  • b is the y-intercept - when x = 0

Problem 17: y = -4x + 2

  • slope: -4
  • y-intercept: (0, 2)

Problem 18: y = 1/7x - 5

  • slope: 1/7
  • y-intercept: (0, -5)

Problem 19:

y = 1x + 3

  • slope: 1
  • y-intercept: (0, 3)

Hope this helps!

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