Question

Info about problems: needs to be in y=mx+b form and work needs to be showing in detail. thank youa) 2y=-3x+4b) 8+2y=xc) -4y+3x=4

Answer 1

Answer:
`\begin{gathered} a)\text{ y = }(-3)/(2)x\text{ + 2} \\ b)\text{ y = }(1)/(2)x\text{ - 4} \\ c)\text{ y = }(3)/(4)x\text{ - 1} \end{gathered}`Explanations:

The equation of a line is of the form y = mx + b

where m is the slope amd c is the y-intercept

`\begin{gathered} a)\text{ 2y = -3x + 4} \\ \text{Divide through by 2} \\ (2y)/(2)\text{ = }(-3)/(2)x\text{ + }(4)/(2) \\ y\text{ = }(-3)/(2)x\text{ +}2 \\ b)\text{ 8 + 2y = x} \\ 2y\text{ = x - 8} \\ y\text{ = }(1)/(2)x\text{ - }(8)/(2) \\ y\text{ = }(1)/(2)x\text{ - 4} \\ c)\text{ -4y + 3x = 4} \\ 4y\text{ = 3x - 4} \\ \text{Divide through by 4} \\ (4y)/(4)=\text{ }(3)/(4)x\text{ - }(4)/(4) \\ y\text{ = }(3)/(4)x\text{ - 1} \end{gathered}`