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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.
[tex]\tt m=-\dfrac{3}{2}\\\\c=\dfrac{5}{2}[/tex]
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
[tex]\tt 2y=-3x+5\\\\y=-\dfrac{3}{2}x+\dfrac{5}{2}[/tex]
Gradient :
[tex]\tt -\dfrac{3}{2}[/tex]
Constant :
[tex]\tt \dfrac{5}{2}[/tex]