Question

Write the equation of the line in slope-intercept form.

(4 points)
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1 answer

To write the equation of a line in slope-intercept form, you need the slope (m) and the y-intercept (b) of the line. The slope-intercept form of a line is given by the equation:

\[ y = mx + b \]

If you have specific points, slope, or additional information about the line, please provide them, and I can help you derive the equation accordingly. Otherwise, here's a general way to find the equation if you have a point and slope:

  1. Identify the slope (m) of the line.
  2. Identify the y-intercept (b) or write the equation using a point (x₁, y₁) that the line passes through.

Example:

  • Suppose the slope (m) is 2, and the line passes through the point (3, 4).

\[ y - y_1 = m(x - x_1) \ y - 4 = 2(x - 3) \ y - 4 = 2x - 6 \ y = 2x - 6 + 4 \ y = 2x - 2 \]

The equation in slope-intercept form is: \[ y = 2x - 2 \]

Please provide additional details if needed!