Questions: Find the slope-intercept form for the line satisfying the conditions. slope 2, passing through (0,4) The slope-intercept form for the line is y=

Find the slope-intercept form for the line satisfying the conditions.
slope 2, passing through (0,4)

The slope-intercept form for the line is y=

Transcript text: Find the slope-intercept form for the line satisfying the conditions. slope 2 , passing through $(0,4)$ The slope-intercept form for the line is $y=$ $\square$

Solution

Solution Steps

To find the slope-intercept form of a line, use the formula $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. Given the slope $ m = 2 $ and the point $(0, 4)$, the y-intercept $ b $ is 4. Substitute these values into the formula.

Step 1: Identify the Slope and Y-Intercept

The slope $ m $ of the line is given as $ 2 $. The line passes through the point $ (0, 4) $, which indicates that the y-intercept $ b $ is $ 4 $.

Step 2: Write the Slope-Intercept Form

Using the slope-intercept form of a line, which is given by the equation: \[ y = mx + b \] we can substitute the values of $ m $ and $ b $ into the equation.

Step 3: Substitute Values

Substituting $ m = 2 $ and $ b = 4 $ into the equation, we have: \[ y = 2x + 4 \]