iis this the correct graph of 3x-y=10?
(1,-7) (0,-10)
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no it is not the correct graph because the slope is 3 and the y-intercept is (0,-10)
no it is not the correct graph because the slope is -3 and the y intercept is (0,-10)
yes it is the correct graph because the slope is -3 and the y-intercept is (0,-10)
yes it is the correct graph because the sloe is 3 and the y intercept is (0,-10)
No it is not the correct graph because the slope is 3 and the y-intercept is (0,-10).
no it is not the correct graph because the slope is 3 and the y-intercept is (0,-10)
To determine if a given graph is the correct representation of the equation 3x - y = 10, we need to compare the slope and the y-intercept of the equation with the characteristics of the graph.
The equation is in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
From the equation 3x - y = 10, we rearrange it to isolate y:
y = 3x - 10
Now we can compare the characteristics:
1. Slope: The coefficient of x in the equation is 3, which means the slope is 3.
2. Y-intercept: The constant term in the equation is -10, which represents the y-intercept.
Now let's analyze the given graph and its characteristics:
(1,-7) and (0,-10)
The points (1,-7) and (0,-10) represent two points on the graph.
To determine if the graph is correct, we need to check if the slope and y-intercept match the equation.
- Option 1: no it is not the correct graph because the slope is 3 and the y-intercept is (0,-10)
- Option 2: no it is not the correct graph because the slope is -3 and the y-intercept is (0,-10)
- Option 3: yes it is the correct graph because the slope is -3 and the y-intercept is (0,-10)
- Option 4: yes it is the correct graph because the slope is 3 and the y-intercept is (0,-10)
Let's analyze the options:
- Option 1 states that the slope is 3, which doesn't match the given graph's slope (-3).
- Option 2 states that the slope is -3, which matches the given graph's slope, but the y-intercept is incorrect. The y-intercept of the graph is (0,-10), which matches the equation's y-intercept.
- Option 3 states that the slope is -3, which matches the given graph's slope, and the y-intercept is correct based on the given graph.
- Option 4 states that the slope is 3, which doesn't match the given graph's slope (-3).
Based on our analysis, the correct answer is:
- Option 3: yes, it is the correct graph because the slope is -3, and the y-intercept is (0,-10).