Determine the equation of a line given its slope and yy-intercept. Write in slope-intercept form.Slope = 44yy-intercept = −2-2

y = 4 x − 2 y=4x-2 y = 4 x − 2

Determine the equation of a line given its slope and y y -intercept. Write in slope-intercept form. Slope = 4 4 y y -intercept = − 2 -2

This problem asks us to determine the equation of a line given its slope and y intercept, and we're asked to write the equation in slope intercept form. Okay. So notice here we have our slope given, which is four, and our y intercept given, which is negative two. Now if you recall, slope intercept form looks like this. It's y equals m x plus b, where m is the slope and b is the y intercept. So So they can see we have both the slope and y intercept given. We're going to have that y is equal to four, which is the slope. That's going to be x plus, and then we have our y intercept, which is going to be negative two since that's the y intercept. Now what I can do is write this a little bit more simple since I can see that negative two is just gonna be the same thing as minus two, so we can write this whole thing as y equals four x minus two, and that is the equation of our line, and that is slope intercept form. Hope you found this video helpful.

Determine the equation of a line given its slope and y y -intercept. Write in slope-intercept form. Slope = 4 4 y y -intercept = − 2 -2

y = 4 x − 2 y=4x-2 y = 4 x − 2

y = − 2 x + 4 y=-2x+4 y = − 2 x + 4

y = 2 x − 4 y=2x-4 y = 2 x − 4

4. Graphs and Functions

Slope-Intercept Form

Intermediate Algebra

4. Graphs and Functions

Slope-Intercept Form

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Multiple Choice

Determine the equation of a line given its slope and $y$ -intercept. Write in slope-intercept form.
Slope = $4$
$y$ -intercept = $negative 2$

$y=-2x+4$

$y=4x+2$

$y=4x-2$

$y=2x-4$

Verified step by step guidance

Recall the slope-intercept form of a line, which is given by the equation $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Identify the given slope $m$ from the problem. Here, the slope is \$4$.

Identify the given y-intercept $b$ from the problem. Here, the y-intercept is $-2$.

Substitute the values of the slope and y-intercept into the slope-intercept form equation: $y = 4x + (-2)$.

Simplify the equation by writing the y-intercept term clearly: $y = 4x - 2$.

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