Question

Given the point and slope write the equation of the line (-8, 9); slope = -3/2

Answer 1

`\begin{gathered} \text{slope m=-}(3)/(2) \\ the\text{ line passed thorugh the point (-8,9)} \\ \text{the general straight line equation is} \\ y=mx+b \\ \text{where we know m, then, we must find } \\ \text{the y-intercept b.} \end{gathered}`
`\begin{gathered} We\text{ can find b by means of the given point (-8,9).} \\ By\text{ substituying this point and the value of m in the line equations} \\ one\text{ has} \\ 9=-(3)/(2)(-8)+b \\ 9=(3)/(2)(8)+b \\ 9=3\cdot4+b \\ 9=12+b \\ b=9-12 \\ b=-3 \\ \text{hence, the searched line is} \\ y=-(3)/(2)x-3 \end{gathered}`