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

Answer:

y = -2/7x + 2

Step-by-step 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.

$\frac{2 - 0}{0 - 7}$ = $\frac{-2}{7}$

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

y = mx + b

y = $\frac{-2}{7}$x + 2