Question

Write 3x+2y=18 in the form of y=mx+c, Find the value of ‘m’and ‘c’.Is (4,3) lies on this linear equation.

Answer 1

3x+2y=18
y=-3x/2+9
y=mx +c
m=-3/2,c=9

Answer 2

Answer: The value of m= $\frac{-3}{2}$ and c = 9 and Yes, (4,3) lies in this equation.

Step-by-step explanation:

Since we have given that

$3x+2y=18$

We need to write it in the form of $y=mx+c$

So, it becomes,

$3x+2y=18\\\\2y=18-3x\\\\y=\frac{18-3x}{2}\\\\y=\frac{-3}{2}+\frac{18}{2}\\\\y=\frac{-3}{2}x+9$

When we compare with our standard equation:

We get that

$m=\frac{-3}{2},c=9$

Now, we have to check whether (4,3) lies on this linear equation:

So, we put the value of coordinate in the equation:

$3x+2y=18\\\\3\times 4+3\times 2=18\\\\12+6=18\\\\18=18$

Yes, it satisfies the linear equation.

Hence, the value of m= $\frac{-3}{2}$ and c = 9 and Yes, (4,3) lies in this equation.