Answer:
I believe the answer is B, and the other answer is D.
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:
The equation would be y = -1/3x + 4
Step-by-step explanation:
The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.
-3x + y = 1
y = 3x + 1
Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.
y - y1 = m(x - x1)
y - 2 = -1/3(x - 6)
y - 2 = -1/3x + 2
y = -1/3x + 4
Answer:
the answer will be 7.5 feet
Step-by-step explanation:
It’s negative 4 because the scale shows there is 4 lines
