**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
Step-by-step 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 [tex]\Large\boxed{(0, -9)}[/tex]
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 [tex]\Large\boxed{(3,0)}[/tex]
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 [tex]\Large\boxed{m=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
