The slope, m, is given by the equation m = (y2-y1)/(x2-x1), where (x1, y1) and (x2, y2) are points on the graph. Thus:
m = (-18-(-18))/(-15-12)
= (-18+18)/-27
= 0/27 = 0
Therefor the slope is 0
Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
He pays 119.93$ but including tax he pays 128.92$ With the tax being 8.99$
Answer:
(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}
3x-2x= 14+10
x=24
