Write an equation of the line with a slope of m=14
 that passes through the point (−8,−4)
Put the answer in slope-intercept form using fractions and/or integers.

To write the equation of a line in slope-intercept form, \( y = mx + b \), we need to determine the slope \( m \) and the y-intercept \( b \).

Given:
- Slope \( m = 14 \)
- Point \( (-8, -4) \)

We'll substitute the point \((x_1, y_1) = (-8, -4)\) into the slope-intercept form to find \( b \).

\[
y = mx + b
\]
\[
-4 = 14(-8) + b
\]

Now, calculate \( 14 \times -8 \):

\[
-4 = -112 + b
\]

Next, solve for \( b \) by adding 112 to both sides:

\[
b = -4 + 112 = 108
\]

Now that we have both \( m = 14 \) and \( b = 108 \), the equation of the line in slope-intercept form is:

\[
y = 14x + 108
\]

Would you like more details or have any questions? 

Here are 5 related questions to explore further:
1. How do you find the slope of a line given two points?
2. What is the point-slope form of a linear equation?
3. How do you convert from point-slope form to slope-intercept form?
4. How can you determine if a point lies on a given line?
5. What are the differences between the slope-intercept form and standard form of a line?

**Tip:** When solving for the y-intercept, always check your arithmetic carefully to avoid errors.

Write an equation of the line with a slope of m=14 that passes through the point (−8,−4). Put the answer in slope-intercept form using fractions and/or integers.

Learn how to find the equation of a line with a slope of 14 that passes through the point (-8,-4). This problem explores key algebraic concepts like the slope-intercept form of a linear equation, making it ideal for students in Grades 8-10.

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