Question

What choice is the slope intercept equation of the line (-4,0) and (0,2)? A. y=0.5x B. y=2x+0.5 C. y=0.5x-2 D. y=0.5x+2

Answer 1

We will determine the slope-intercept form of the points as follows:

First, we recall that the slope intercept form of a line is given by the expression:

`\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \end{gathered}`

Where (x1, y1) & (x2, y2) are two points of the line, then:

`\begin{gathered} y-2=((2-0)/(0-(-4)))(x-0)\Rightarrow y-2=(1)/(2)(x-0) \\ \\ \Rightarrow y=0.5x+2 \end{gathered}`

So, the equation of the line in slope intercept form is:

`y=0.5x+2`