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Math Asked by a SnapAndSolve user · about 2 hours ago

#2 Write an equation in slope-intercept form using the given information. A. Slope: \( \frac{1}{2} \);...

#2 Write an equation in slope-intercept form using the given information.
A. Slope: \( \frac{1}{2} \); passes through (6, -2)
B. line \( m \) goes through the points (2, -4) and (4, -7)

Answer

  1. For part A, use the point-slope form: y - y1 = m(x - x1). Given m = 1/2 and point (6, -2), the equation is:

    y + 2 = \( \frac{1}{2} \)(x - 6)

    Simplifying to slope-intercept form:

    y = \( \frac{1}{2} \)x - 5

  2. For part B, first find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).

    Using points (2, -4) and (4, -7):

    m = (-7 + 4) / (4 - 2) = -3/2

    Using point-slope form with point (2, -4):

    y + 4 = \( -\frac{3}{2} \)(x - 2)

    Simplifying to slope-intercept form:

    y = \( -\frac{3}{2} \)x - 1

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