Given the function 2x+y=7 find the following: a. X-intercept b. Y- intercept c. Slope

Question

steps on how to solve please I appreciate it

Answer 1

If you answer this question once and forever for an equation in Standard Form (Ax+By=C), you will have:

    ♦  x-intercept [the value of x when y=0] is (C/A)

    ♦  y-intercept [the value of y when x=0] is (C/B)

    ♦  slope is (-A/B)

 

For this problem:

   x-intercept is 7/2

   y-intercept is 7

   slope is  (-2)

Answer 2

2x+y=7

 

x intercept is the point where y=0

plug zero in for y and solve for x

2x+0=7

2x=7.   divide both sides by 2

x=7/2

the x intercept is at (7/2 , 0)

 

Y intercept is where x=0

plug in zero for x and solve for y

2(0) + y = 7

y=7

the y intercept is at (0,7)

 

Slope:  put the equation into slope intercept form

y=mx+ b

m is the slope and b is the y-intercept: (should be 7)

Solve the equation for y

 

2x+y=7   subtract 2x from both sides

y = -2x + 7

 

slope is -2