Well, if a line is parallel to another, they share the same slope. Why that is, I can further explain in the comments if you're interested. Anyway, because we know this line is parallel to 3x-5, it MUST have a slope of 3, since that is the slope of the other line. So you can go ahead and mark out those last 3 answers. You could also mark out the first one since it's the EXACT SAME line as the one were given, so it wouldn't be parallel, it would just be equal to it. So we know the answer has to be B. What if A wasn't the same as the line given though? in that case, we could look at the point you're given. it describes the y intercept of our unknown line, since the point occurs at x=0. If that doesn't make sense, let me know and I can elaborate on why that is. Anyway, if we're looking at the general form of a line, y = mx + b, b describes the y value at which the y-intercept occurs. the y intercept were given occurs at y= 7, so the b value of our line must be 7. This agrees with answer B.
Hope that helps, and let me know if you have any questions! :)
Answer:
1.3 pounds
Step-by-step explanation:
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
Answer:-22
Step-by-step explanation:
5 times -3 equals -15, and the combine it with -7 to get -22
