Questions: For the line below, find its y-intercept and its slope, then write its equation.

Transcript text: For the line below, find its $y$-intercept and its slope, then write its equation.

Solution

Solution Steps

Step 1: Identify the y-intercept for Question 20

For the line in question 20, observe where the line crosses the y-axis. The y-intercept is the point where the line intersects the y-axis.

Step 2: Determine the slope for Question 20

To find the slope, select two points on the line. Use the formula for slope $ m = \frac{y_2 - y_1}{x_2 - x_1} $, where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.

Step 3: Write the equation for Question 20

Using the slope-intercept form of a line $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept, write the equation of the line.

Step 4: Identify the y-intercept for Question 21

For the line in question 21, observe where the line crosses the y-axis. The y-intercept is the point where the line intersects the y-axis.

Step 5: Determine the slope for Question 21

To find the slope, select two points on the line. Use the formula for slope $ m = \frac{y_2 - y_1}{x_2 - x_1} $, where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.

Step 6: Write the equation for Question 21

Using the slope-intercept form of a line $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept, write the equation of the line.