A line has a slope of 3 and passes through the point (–2,–10). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. ______

Remember slope-intercept form: First, remember the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.Find y-intercept: We know the slope (m) is 3. Now we need to find the y-intercept (b) using the point (-2, -10).Plug in point: Plug the point into the equation: -10 = 3*(-2) + b.Do the math: Do the math: -10 = -6 + b.Solve for b: Solve for b: b = -10 + 6.Final equation: So, b = -4.Now we have the slope (m = 3) and the y-intercept (b = -4). The equation is y = 3x - 4.

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A line has a slope of $3$ and passes through the point $(-2,-10)$ . Write its equation in slope-intercept form. $\newline$ Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Algebra 2

Write the equation of a linear function

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Q. A line has a slope of

3

and passes through the point

(-2,-10)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Remember slope-intercept form: First, remember the slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Find y-intercept: We know the slope $m$ is $3$ . Now we need to find the y-intercept $b$ using the point $(-2, -10)$ .
Plug in point: Plug the point into the equation: $-10 = 3*(-2) + b$ .
Do the math: Do the math: $-10 = -6 + b$ .
Solve for b: Solve for b: $b = -10 + 6$ .
Final equation: So, $b = -4$ .
Final equation: So, $b = -4$ .Now we have the slope ( $m = 3$ ) and the y-intercept ( $b = -4$ ). The equation is $y = 3x - 4$ .