Question

Find the linear equations giving brainlest

Answer 1

17)  y = -4x + 2

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

When comparing both equations, we can observe that:

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

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

Determining the coordinates of the y-intercept;

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

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

Final answers:

• Slope = -4
• Coordinates of y-intercept = (0, 2)

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18)  y = x/7 - 5

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

When comparing both equations, we can observe that:

• "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.

Determining the coordinates of the y-intercept;

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

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

Final answers:

• Slope = x/7
• Coordinates of y-intercept = (0, -5)

________________________________________________________

19)  y = x + 3

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]

When comparing both equations, we can observe that:

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

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

Determining the coordinates of the y-intercept;

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

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

Final answers:

• Slope = 1
• Coordinates of y-intercept = (0, 3)

Answer 2

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!