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=

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.

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 $4$.

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.

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

Final Answer