Determine the equation of a line given its slope and yy-intercept. Write in slope-intercept form.Slope = −3-3 yy-intercept = 52\frac52

y = − 3 x + 5 2 y=-3x+\frac52 y = − 3 x + 2 5

Determine the equation of a line given its slope and y y -intercept. Write in slope-intercept form. Slope = − 3 -3 y y -intercept = 5 2 \frac52

this problem, we are asked to determine the equation of a line given its slope and y intercept, and to write the equation in slope intercept form. So let's go ahead and try solving this. So the slope intercept form equation is y equals mx plus b, where m is the slope and b is the y intercept. Now I can clearly see here that my slope m is given to us as negative three, and I can see that my y intercept b is also given as five halves. So notice that we have our slope and we have our y intercept, so now let's put it all together in our equation. So we're going to get y is equal to negative three, that's our slope, x plus b, which is five halves. Now I can make this look a little bit nicer by getting rid of these parentheses, so that's gonna give me y equals negative three x, negative three x plus five halves, and this right here is the equation for our line in 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 = − 3 -3 y y -intercept = 5 2 \frac52

y = − 3 x + 5 2 y=-3x+\frac52 y = − 3 x + 2 5

y = 5 2 x − 3 y=\frac52x-3 y = 2 5 x − 3

y = 5 2 x + 3 y=\frac52x+3 y = 2 5 x + 3

y = 3 x − 5 2 y=3x-\frac52 y = 3 x − 2 5

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 = $negative 3$
$y$ -intercept = $\frac{5}{2}$

$y=-3x+\frac52$

$y=\frac52x-3$

$y=\frac52x+3$

$y=3x-\frac52$

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 $m$ and y-intercept $b$ from the problem. Here, the slope $m = -3$ and the y-intercept $b = \frac{5}{2}$.

Substitute the given slope and y-intercept values into the slope-intercept form equation: $y = (-3)x + \frac{5}{2}$.

Simplify the equation if necessary, but in this case, the equation is already in its simplest slope-intercept form.

Write the final equation of the line as $y = -3x + \frac{5}{2}$, which expresses the line with the given slope and y-intercept.

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