Question

Which equation represents a line which is parallel to the line 7y - 4x = –49a) y=7/4x+3b) y=-7/4x+1c) y=4/7x+7d) y= -4/7x+4

Answer 1

Let us first convert the equation given to the slope-intercept form:

`7y-4x=-49`

adding 4x to both sides gives

`7y=4x-49`

dividing both sides by 7 gives

`y=(4x-49)/(7)`
`y=(4x)/(7)-7`

Now, we need to look at the choices and see which of the answer choices has a slope of 4/7.

Looking at the choices we see that choice C has the matching slope; therefore, it is the correct answer choice.