Find the slope and y-intercept of the following equation 3y-5=2(x-2)

Ramsey

Ramsey

Answered question

2021-09-16

Find the slope and y-intercept of the following equation 3y5=2(x2)
Slope= ?
y-Intercept=?
Q)Find the slope and y-intercept of the following equation 15x+3y=2.4
Slope= ?
y-Intercept=?
Use algebra to solve the following systems of equations
A)12y=5x+16
6x+10y54=0
B)9x5+5y4=4710
2x9+3y8=536
C)0.2a+0.3b=0
0.7a+0.2b=259
1.General equation for slope is y=mx+b. Where m is the slope and b is the y-intercept.
3y5=2(x2)
3y5=2x4 Simplifying,
3y=2x+1.
y=23+13.
Comparing the above equation with the generalised equation, we get, 2/3 as slope and 1 as the y-intercept.
2.15x+3y=2.4
3y=1.5x+2.4
y=0.5x+0.8
Comparing the above equation with the generalised equation we get slope as -0.5 and y-intercept as 0.8

Answer & Explanation

davonliefI

davonliefI

Skilled2021-09-17Added 79 answers

(a)
12y=5x+16
6x+10y54=0.Re-arranging, we get,
10y=546x.
Now beluing equations sumontaneonsly,
(12y=5x+16)×10
(10y=6x+54)×12
Multiplying fiest equatio by 10s second by 12, we get,
120y=50x+160
120y=72x+648
+0=122x488
122x=488x=488122
x=4.Mugging this value into any of the equation gives.
10yZ=546(4)
10y=5424
10y=30 y=3010y=3

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