Question

Find the equation of the line through (-4, 10) and the slope = -3/2

Answer 1

When findin the equation of a line in the form

`y=mx+b`

in which m represents the slope of the line and b the y-intercept.

Since the slope is giving the data missing is the y intercept which can be found using the point given

`y=-(3)/(2)x+b`

replace the point to find b

`\begin{gathered} 10=-(3)/(2)(-4)+b \\ 10=6+b \\ 10-6=b \\ 4=b \end{gathered}`

The equation of the line is

`y=-(3)/(2)x+4`