Answer:
8/9
Step-by-step explanation:
The equation to find a slope is y2-y1/x2-x1=m. (m is the slope)
174-166/173-164
8/9
So the slope is 8/9.
Answer:
![\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2](https://tex.z-dn.net/?f=%5Csf%20gradient%20%3D%5Cdfrac%7B-2%7D%7B3%7D%5C%5C%5C%5C%20y%20-intercept%20%3D%202)
Step-by-step explanation:
<h2>Equation of the line in slope intercept form:</h2>
![\sf \boxed{\bf y = mx +b}](https://tex.z-dn.net/?f=%5Csf%20%5Cboxed%7B%5Cbf%20y%20%3D%20mx%20%2Bb%7D)
Here m is the slope or gradient and b is the y-intercept.
Write the given equation in slope-intercept form.
2x + 3y = 6
3y = -2x + 6
![\sf y =\dfrac{-2}{3}x +\dfrac{6}{3}\\\\ y = \dfrac{-2}{3}x + 2](https://tex.z-dn.net/?f=%5Csf%20y%20%3D%5Cdfrac%7B-2%7D%7B3%7Dx%20%2B%5Cdfrac%7B6%7D%7B3%7D%5C%5C%5C%5C%20%20%20%20%20y%20%3D%20%5Cdfrac%7B-2%7D%7B3%7Dx%20%2B%202)
![\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2](https://tex.z-dn.net/?f=%5Csf%20gradient%20%3D%5Cdfrac%7B-2%7D%7B3%7D%5C%5C%5C%5C%20y%20-intercept%20%3D%202)
Answer:
d = 9.4
Step-by-step explanation:
d=![\sqrt{(3-(-5))^2 +(-3-2)^2\\](https://tex.z-dn.net/?f=%5Csqrt%7B%283-%28-5%29%29%5E2%20%2B%28-3-2%29%5E2%5C%5C)
d=![\sqrt{(8)^2+(-5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288%29%5E2%2B%28-5%29%5E2%7D)
d=![\sqrt{64+25}](https://tex.z-dn.net/?f=%5Csqrt%7B64%2B25%7D)
d=![\sqrt{89](https://tex.z-dn.net/?f=%5Csqrt%7B89)
d=9.4
It would be B. 68
I hope this help!
Answer:
a=-8/5
Step-by-step explanation:
(-1/2a-5)=3a+1
To find the opposite of 1/2 a−5, find the opposite of each term.
-1/2a-(-5)= -3a+1
The opposite of −5 is 5.
-1/2a+5=-3a+1
add 3a to both sides
-1/2a+5+3a=1
Combine-1/2and 3a to get 5/2a
5/2a+5=1
Subtract 5 from both side
5/2a=1-5
Subtract 5 from 1 to get −4.
5/2a=-4
Multiply both sides by 2/5 =0.4, the reciprocal of 5/2=2.5.
a=-4x(2/5)
express -4x(2/5)=1.6 as single fraction.
a= -4x2/5
Multiply −4 and 2 to get −8.
a=-8/5
Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.
a=-8/5