Question

Find the equation of the line.

Answer 1

Answer:

y = (-1/3)x + 5

Step-by-step explanation:

The format of the equation of line required is in slope-intercept form:

y = mx + c

m is the slope, and c is the y-intercept.

First, lets find the slope.

Randomly find 2 points on the line. Label them as (x1, y1) and (x2, y2)

Let's say I pick the points (0,5) and (9, 2).

slope m = (y2 - y1) / (x2 - x1)

slope = (2-5 ) / (9-0)

= -3 / 9

= -1/3

the y-intercept is the point where the line cuts through the y-axis, which is 5 in this case.  

Therefore, the equation of the line will be:

y = (-1/3)x + 5