Final answer:
To find a line parallel to the equation 358x - 7y = 35, we need to keep the same slope as the given equation. The slope of the given equation is 358/7. Therefore, any line with this slope will be parallel to the given equation.
Step-by-step explanation:
The given equation is 358x - 7y = 35, and we are asked to find a line parallel to this equation.
To find a parallel line, we need to keep the same slope as the given equation. The slope of the given equation is found by rearranging it into slope-intercept form, y = mx + b, where m is the slope. So, let's rearrange the equation:
358x - 7y = 35
-7y = -358x + 35
y = (358/7)x - 5
From this, we can see that the slope of the given equation is 358/7. Therefore, any line with this slope will be parallel to the given equation.
For example, a line with the equation y = (358/7)x + 2 would be parallel to the given equation. The key is that the slope remains the same.