A line goes through the point (6,–2) and has a slope of –3.What is the value of a if the point (a,7) lies on the line?

Answer:a = 3Step-by-step explanation:The slope of a line given two points can be found by using the formula[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]From the question the slope is - 3To find the value of a we have[tex] - 3 = \frac{7 - - 2}{a - 6} \\ - 3 = \frac{7 + 2}{a - 6} \\ - 3(a - 6) = 9 \\ - 3a + 18 = 9 \\ - 3a = 9 - 18 \\ - 3a = - 9[/tex]Divide both sides by - 3[tex] \frac{ - 3a}{ - 3} = \frac{ - 9}{ - 3} \\ [/tex]We have the final answer asa = 3Hope this helps you