Question

Work out m and c for the line:2y+3x=5

Answer 1

Step-by-step explanation:

General line equation: y = mx + c.

2y + 3x = 5

2y = -3x + 5

y = -1.5x + 2.5

Hence m = -1.5 and c = 2.5.

Answer 2

$\tt m=-\dfrac{3}{2}\\\\c=\dfrac{5}{2}$

Further explanation

Given

The line equation

2y+3x=5

Required

m(gradient) and c(constant)

Solution

The two-variable linear equation is a linear equation that has 2 variables and the exponent is one

ax+by=c

We change the equation in standard form  : y = mx + c

$\tt 2y=-3x+5\\\\y=-\dfrac{3}{2}x+\dfrac{5}{2}$

Gradient :

$\tt -\dfrac{3}{2}$

Constant :

$\tt \dfrac{5}{2}$