Question

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.slope: -9/2ordered pair: (0, -8/9)

Answer 1

`y=-(9)/(2)x-(8)/(9)`

Explanation:

Given a line with the following properties:

• Slope: -9/2

,

• Point: (0, -8/9)

We are to find the equation of the line in the slope-intercept form.

The slope-intercept form of a line is given as:

`y=mx+b\text{ where }\begin{cases}m=\text{slope} \\ b=y-\text{intercept}\end{cases}`

The y-intercept is the point on the graph where x=0. Thus, from the given ordered pair (0, -8/9) :

`y-\text{intercept, }b=-(8)/(9)`

Substitute m=-9/2 and b=-8/9 into the slope-intercept form defined earlier.

The equation of the line is:

`y=-(9)/(2)x-(8)/(9)`