2x + 6y = 9

a graph of this function would have an x-intercept at and a y-intercept at

x intercept (-9/2 , 0)

y intercept (0,3/2)

Step-by-step explanation:

-2x + 6y = 9

To find the y intercept let x =0 and solve for y

-2 (0) +6y = 9

6y = 9

Divide by 6

6y/6 = 9/6

y = 3/2

(0,3/2)

To find the x intercept let y =0 and solve for x

-2 x +6(0) = 9

-2x=9

Divide by -2

-2x/-2 = 9/-2

x = -9/2

(-9/2 , 0)

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a