Question

find the slope - intercept form for the line satisfying the conditions. slope 4, passing through (0,5) the slope - intercept form for the line is y = \square.

Explanation:

Step1: Recall slope-intercept form

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

Step2: Identify given values

We are given slope $m = 4$, and the line passes through $(0,5)$. The point $(0,5)$ is the y-intercept, so $b = 5$.

Step3: Substitute values into formula

Substitute $m=4$ and $b=5$ into $y = mx + b$.
$y = 4x + 5$

Answer:

$y = 4x + 5$