Question

#6.

Identify the slope and y intercept. Then, graph the linear equation.

y−5=−3x



Begin with
b,the y-intercept:

Type the number only. Do NOT enter a coordinate.

Submit
Move with
m,the slope:

Answer 1

To identify the slope and y-intercept from the equation \( y - 5 = -3x \), we can rearrange it into slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Starting with the given equation:
\[ y - 5 = -3x \]

Adding 5 to both sides:
\[ y = -3x + 5 \]

From this form of the equation, we can identify:
- The slope \( m = -3 \)
- The y-intercept \( b = 5 \)

**Answer:**

b, the y-intercept: 5
m, the slope: -3

Now, you can graph the linear equation using the slope and y-intercept. The y-intercept \( (0, 5) \) is where the line crosses the y-axis, and the slope \( -3 \) indicates that for each unit increase in \( x \), \( y \) decreases by 3 units.