Question

problem:
graph
$y = \frac{3}{4}x - 1$ intersects the line $y = -\frac{1}{2}x + b$ at point (4, 2). value of b?
problem:

Explanation:

Step1: Substitute the point into the second line equation

Since the point \((4, 2)\) lies on the line \(y = -\frac{1}{2}x + b\), we substitute \(x = 4\) and \(y = 2\) into this equation.
\(2=-\frac{1}{2}(4)+b\)

Step2: Simplify and solve for \(b\)

First, calculate \(-\frac{1}{2}(4)\), which is \(-2\). So the equation becomes:
\(2=-2 + b\)
Then, add \(2\) to both sides of the equation to isolate \(b\):
\(b=2 + 2\)
\(b = 4\)

Answer:

\(4\)