Respuesta :

mhanifa

y = -4x + 4

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Using the two-point formula:

  • y = mx + b, where m is the slope and b is the y-intercept.

First, calculate the slope:

  • m = (y₂ - y₁) / (x₂ - x₁)
    m = (28 - 4) / (-6 - 0) = 24 / -6 = -4

Then, substitute one point into the equation to find the y-intercept:

  • 4 = -4(0) + b
  • b = 4

Therefore, the equation of the line is y = -4x + 4.

Final answer:

To find the equation of a line passing through two points in slope-intercept form, calculate the slope using the given points and then use the point-slope form to derive the equation.

Explanation:

The equation of the line passing through (0,4) and (-6,28) in slope-intercept form:

To find the slope (m), use the formula: m = (y2 - y1) / (x2 - x1). Substituting the given points, m = (28 - 4) / (-6 - 0) = 24 / -6 = -4.

With the slope (m = -4) and using the point-slope form y - y1 = m(x - x1), you can calculate the equation of the line in slope-intercept form as y = -4x + 4.

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