Question

Write the equation of the following line in slope-intercept form. X​

Answer 1

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

Explanation:

The equation for slope-intercept form is
`y=mx+b`.

First, we find b by looking at where the line passes through where
`x=0`. We can see that it is 2, so in our equation for slope-intercept form
`b=2`.

Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression
`(x_(1)-x_(2))/(y_(1)-y_(2))`. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression
`(0-2)/(2-1)`. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form,
`m=-(1)/(2)`.

By putting the information we have about m and b together, we get the equation
`y=-(1)/(2)x+2`.