Use point-slope form to write the equation of a line that passes through the point left parenthesis, minus, 7, comma, minus, 4, right parenthesis(−7,−4) with slope 10/7

To write the equation of a line in **point-slope form**, the general formula is:

\[
y - y_1 = m(x - x_1)
\]

Where:
- \(m\) is the slope,
- \((x_1, y_1)\) is a point on the line.

Given:
- The slope \(m = \frac{10}{7}\),
- The point \((x_1, y_1) = (-7, -4)\),

Substitute these values into the point-slope form:

\[
y - (-4) = \frac{10}{7}(x - (-7))
\]

Simplify the equation:

\[
y + 4 = \frac{10}{7}(x + 7)
\]

This is the equation of the line in **point-slope form**.

Would you like more details or further questions about this?

Here are 5 related questions:
1. How do you convert this equation to slope-intercept form?
2. What is the y-intercept of the line from this equation?
3. How do you find the x-intercept from this equation?
4. Can you derive the equation using two points instead of slope?
5. How does point-slope form differ from standard form?

**Tip:** Point-slope form is useful when you have a point and a slope, as it's quick to write the equation of the line directly from the information given.

Use point-slope form to write the equation of a line that passes through the point (−7,−4) with slope 10/7.

Learn how to write the equation of a line in point-slope form that passes through the point (-7, -4) with a slope of 10/7. This step-by-step solution explains the key concepts of algebra and linear equations, making it ideal for students in Grades 8-10.

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