Question

use the point slope formula and the given points to choose the correct linear equation in slope intercept form (0,7) and (4,2)

Answer 1

We have to write the equation of the line that passes through (0,7) and (4,2) in point-slope form.

We start by using the points to calculate the slope m:

`m=(y_2-y_1)/(x_2-x_1)=(2-7)/(4-0)=-(5)/(4)`

Then, if we use point (0,7), we can write the equation in point-slope form as:

`\begin{gathered} y-y_0=m(x-x_0) \\ y-7=-(5)/(4)(x-0) \\ y=-(5)/(4)+7 \end{gathered}`

Answer: the equation is y = -(5/4)*x + 7