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QUESTION IMAGE

y x (-9, -7); m = 4

Question

y
x
(-9, -7); m = 4

Explanation:

Identify the given point and slope

Using the Graphing Linear Equations knowledge point

$$ LATEXBLOCK0 $$

Find a second point on the line

Using the Point-Slope Form knowledge point

$$ LATEXBLOCK1 $$

Find the equation of the line

Using the Point-Slope Form knowledge point

$$ LATEXBLOCK2 $$

Answer:

The line passes through the point \((-9, -7)\) with a slope of \(4\).

An equation representing this line is:

$$y + 7 = 4(x + 9)$$

Or in slope-intercept form:

$$y = 4x + 29$$

Two points that can be used to graph this line are:

  • First point: \((-9, -7)\)
  • Second point: \((-8, -3)\)