Question

Can I please get someone to help me with this?

Answer 1

First, notice that the line intersects the y-axis at the point (0,5), and that it also passes through the point (2,4). Then, we can use the equation for the slope given two points:

`m=(y_2-y_1)/(x_2-x_1)`

in this case, we get the following:

`\begin{gathered} (x_1,y_1)=(2,4)_{} \\ (x_2,y_2)=(0,5) \\ \Rightarrow m=(5-4)/(0-2)=-(1)/(2) \\ m=-(1)/(2) \end{gathered}`

now that we have that the slope is m = -1/2 and that the y-intercept is 5 (since the intersection is the point (0,5)), then, the equation of the line in slope intercept form is:

`y=-(1)/(2)x+5`