Question

what is the y intercept of the line with a slope of - 4/7 that also passes through the point (7 , - 7/2) ?

Answer 1

The answer is the last option:
`(1)/(2)`

Explanation:

1. You have that the equation of the line is:

`y=mx+b`

Where
`m` is the slope of the line and
`b` is the intercept with the y-axis.

2. Therefore, you must find
`b`.

3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for
`b`, as following:

`y=mx+b\\-(7)/(2)=(-(4)/(7))(7)+b\\-(7)/(2)=-4+b\\b=(1)/(2)`