What is the Y and x intercept of 9X-6Y= 72

The y-intercept is -12

The x-intercept is 8

Step-by-step explanation: Factor out 3

Divide all by 3 to simplify.

9x - 6y = 72 is equivalent to

3x - 2y = 24

At this point, you can substitute 0 for x and solve for y

3(0) -2y = 24. -2y/-2 = 24/-2

y = -12

And substitute 0 for y and solve for x.

3x -2(0) = 24. 3x/3 = 24/3

x = 8

OR Change to slope intercept form:

y = mx + b. b is the y intercept.

-2y = -3x + 24. Solve for y.

Divide all by-2

y = 3x/2 - 12.

The y-intercept is -12

To find the x-intercept, substitute 0 for y and solve for x.

0 = 3x/2 -12 Add 12 to both sides.

12 = 3x/2. Multiply both sides by 2/3

8 = x

The x-intercept is 8

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.