Determine the x and y intercept of the graph of y=1/4x+2

see explanation

Step-by-step explanation:

Where the line crosses the x- axis the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x

x + 2 = 0 ( multiply through by 4 to clear the fraction )

x + 8 = 0 ( subtract 8 from both sides )

x = - 8 ← x- intercept ⇒ (- 8, 0 )

Where the line crosses the y- axis the x- coordinate is zero.

Substitute x = 0 into the equation and solve for y

y = 0 + 2, that is

y = 2 ← y- intercept ⇒ (0, 2 )

Step-by-step explanation:

the x  intercept :when  y=0   1/4x +2 =0

1/4x = - 2      so : x = - 8

the y intercept : when x = 0     1/2(0)+2 = 2

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i