How do I make these 2 points (-4, 4) and (-4, -3) into slope intercept form

Mathematics

ScanSolve AI Answer

Answer

x=−4x = -4

Step-by-step solution

4 steps

The two points (−4,4)(-4, 4) and (−4,−3)(-4, -3) form a vertical line.

  1. Calculate the slope.

    The slope mm is given by the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
    Using the points (−4,4)(-4, 4) and (−4,−3)(-4, -3):
    m=−3−4−4−(−4)=−70m = \frac{-3 - 4}{-4 - (-4)} = \frac{-7}{0}

  2. Interpret the slope.

    Since the denominator is zero, the slope is undefined. This indicates that the line is a vertical line.

  3. Determine the equation of the line.

    For a vertical line, the x-coordinate is constant. Both given points have an x-coordinate of -4.
    Therefore, the equation of the line is x=−4x = -4.

  4. Attempt to write in slope-intercept form.

    The slope-intercept form is y=mx+by = mx + b. A vertical line has an undefined slope, which means it cannot be written in the form y=mx+by = mx + b.

    The equation of the line passing through the points (−4,4)(-4, 4) and (−4,−3)(-4, -3) is a vertical line:
    x = -4
    This line cannot be expressed in slope-intercept form because its slope is undefined.

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