Question

The slope of a line and one point on the line are given . Write the equation of the line in slope-intercept form. (Hint: it may be helpful to first write it in point slope form y-y1=m(x-x1) and then convert it to the slope intercept form)

Answer 1

Using the slope-point formula for the equation of a line we get:

`y-1=-(1)/(2)(x-(-4))\text{.}`

Taking the above equation to its slope-intercept form we get:

`\begin{gathered} y-1=-(1)/(2)(x+4), \\ y-1=-(1)/(2)x-(4)/(2), \\ y-1=-(1)/(2)x-2, \\ y=-(1)/(2)x-1. \end{gathered}`

Answer:

`y=-(1)/(2)x-1.`