Question

1. $y = \frac{3}{4}x$

slope (m) = _______
y-intercept (b) = _______

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Identify slope (\(m\))

For the equation \(y=\frac{3}{4}x\), we can rewrite it as \(y=\frac{3}{4}x + 0\). Comparing with \(y = mx + b\), the coefficient of \(x\) is the slope. So, \(m=\frac{3}{4}\).

Step3: Identify \(y\) - intercept (\(b\))

In the equation \(y=\frac{3}{4}x+0\), the constant term (the term without \(x\)) is the \(y\) - intercept. So, \(b = 0\).

Answer:

slope (\(m\)) \(=\frac{3}{4}\)
\(y\) - intercept (\(b\)) \(= 0\)