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

The correct answers are -6 -5-6-9...

What is the y intercept of the line with a slope

kaitlyn7077

11.03.2022

The answer is the last option: $\frac{1}{2}$

Explanation:

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

y=mx+b

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

2. Therefore, you must find .

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

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

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