Question

Which graph show a line with a y intercept of ( 0 , 3 ) and x intercept of ( 6 , 0 )

Answer 1

`y=-(1)/(2)x+3`

The graph in the attached figure

Explanation:

step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

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

we have

(0,3) and (6,0)

substitute the values in the formula

`m=(0-3)/(6-0)`

`m=(-3)/(6)`

`m=-(1)/(2)`

step 2

Find the equation of the line in slope intercept form

`y=mx+b`

we have

`m=-(1)/(2)`

`b=3` ----> the y-intercept is given

substitute the values

`y=-(1)/(2)x+3`

step 3

To graph the line plot the intercepts and join the points

The graph in the attached figure