Question

graphing linear equations in slope intercept form

1. ( y = -\frac{1}{6}x - 3 )

slope:

y - intercept:

1. ( y = 2x - 1 )

slope:

y - intercept:

Explanation:

Problem 3: \( y = -\frac{1}{6}x - 3 \)

Step 1: Identify the slope

The equation is in slope - intercept form \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. For the equation \( y = -\frac{1}{6}x-3 \), comparing with \( y = mx + b \), we get \( m=-\frac{1}{6} \).

Step 2: Identify the y - intercept

Again, using the slope - intercept form \( y = mx + b \), for the equation \( y=-\frac{1}{6}x - 3 \), we have \( b=-3 \).

Step 1: Identify the slope

The equation \( y = 2x - 1 \) is in slope - intercept form \( y=mx + b \). Here, \( m = 2 \) (the coefficient of \( x \)).

Step 2: Identify the y - intercept

Using the slope - intercept form \( y=mx + b \), for the equation \( y = 2x-1 \), \( b=-1 \) (the constant term).

Answer:

Slope: \(-\frac{1}{6}\)
y - intercept: \(-3\)

Problem 4: \( y = 2x-1 \)