Question

D) y = 3x - 9 7) 2) y-int. m = x-int. 3) -​

Answer 1

**Disclaimer** Hi there! I assumed the question to be finding the "y-intercept", "x-intercept", and "slope/gradient" of the equation "y = 3x - 9". The following answering will be according to this understanding. If it is incorrect, please tell me and I will modify my answer.

Answer:

y-intercept = (0, -9)

x-intercept = (3, 0)

slope (m) = 3

Explanation:

What is being asked: to find the corresponding values

• y-intercept
• x-intercept
• Slope/gradient

Given equation

y = 3x - 9

PART I: y-intercept

Concept

The y-intercept of a line is on the coordinate of (0, a), where [ a ] is a constant.

Substitute values into the equation

y = 3x - 9

y = 3 (0) - 9

y = 0 - 9

y = -9

Therefore, the y-intercept is
`\Large\boxed{(0, -9)}`

PART II: x-intercept

Concept

The x-intercept of a line is on the coordinate of (a, 0), where [ a ] is a constant.

Substitute values into the equation

y = 3x - 9

0 = 3x - 9

Add 9 on both sides

0 + 9 = 3x - 9 + 9

9 = 3x

Divide 3 on both sides

9 / 3 = 3x / 3

x = 3

Therefore, the x-intercept is
`\Large\boxed{(3,0)}`

PART III: Slope/Gradient

Concept

In the linear formula, y = mx + b, [ m ] is the slope and [ b ] corresponds to the y-intercept.

Determine the slope

Given the equation, y = 3x - 9, when corresponds to the general linear equation formula:

y = mx + b

y = 3x - 9

Therefore, the slope is
`\Large\boxed{m=3}`

Hope this helps!! :)

Please let me know if you have any questions