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The points (−5,8)(-5,8) and (−6,q)(-6,q) fall on a line with a slope of 55. What is the value of qq?\newlineq=___q = \_\_\_

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Full solution

Q. The points (−5,8)(-5,8) and (−6,q)(-6,q) fall on a line with a slope of 55. What is the value of qq?\newlineq=___q = \_\_\_
  1. Calculate slope formula: Calculate the slope using the formula for slope between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2): slope=y2−y1x2−x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}. Here, x1=−5x_1 = -5, y1=8y_1 = 8, x2=−6x_2 = -6, and y2=qy_2 = q.
  2. Set equal and solve: Set the calculated slope equal to the given slope of 55 and solve for qq.

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