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: $\frac{1}{2}$

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:

$y=mx+b\\-\frac{7}{2}=(-\frac{4}{7})(7)+b\\-\frac{7}{2}=-4+b\\b=\frac{1}{2}$