There is a line that includes the point (3, 8) and has a slope of 6 . What is its equation in slope-intercept form ?

y=6x-10

Step-by-step explanation:

Use Point-Slope form to solve this problem

Point Slope Form: y-y1=m(x-x1)

M is your slope, in this case, m will be 6

Plug in the values of your coordinates (3,8), ambigously, 3 will be the value of x1 and 8 will be the value of y1.

New equation: y-8=6(x-3), start solving from here

y-8=6x-18

Use inverse operations to get y alone, opposite of subtraction is additiin so add 8 to both sides of the equation

y=6x-10

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.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)