The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
![\rm m =\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
The slope of the segment AB:
![\rm m =\dfrac{4-9}{8-2}](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7B4-9%7D%7B8-2%7D)
m = -5/6
The slope of the line perpendicular to AB:
Let M is the slope of the line:
mM = -1
(-5/6)M = -1
M = 6/5
The line:
y = Mx + c
y = (6/5)x + c
The line passing through the point C(-3, -2)
-2 = (6/5)(-3) + c
c = 8/5
y = (6/5)x + 8/5
5y = 6x + 8
Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
Learn more about the slope here:
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The answer is b=8+2/10 or b=14.32455532
Answer:
x = 2 4/7
Step-by-step explanation:
8x - 9 = x + 9
Add 9 to both sides
8x - 9 + 9 = x + 9 + 9
8x = x + 18
Collect like terms
8x - x = 18
7x = 18
Divide both sides by 7
7x/7 = 18/7
x = 2 4/7