Question

Given the set of information, find a linear equation satisfying the conditions.

X-intercept at (x,y)=(7,0) and y-intercept at (x,y)=(0,2)

Answer 1

y = -2/7x + 2

Explanation:

y=mx + b is the slope intercept form of a line. The b is the y-intercept. We are given that. The point (0,2) tells us that the line crosses the y intercept at 2.

Now we have to find the slope. The slope is the change in y over the change in y. Given the points (7,0) and (0,2) The y's are 2 and 0 and the x's are 0 and 7. Subtract the y's and subtract the x's.

`(2 - 0)/(0 - 7)` =
`(-2)/(7)`

Now we can put in the slope and the y-ntercept

y = mx + b

y =
`(-2)/(7)`x + 2