What is the equation in standard form of the line that passes through the point (4,8) and has a slope of 1/4

The standard form of the equation would be -x + 4y = 28

Step-by-step explanation:

To find the equation of the line in standard form, start with the point-slope form of the line and then solve for the constant.

y - y1 = m(x - x1)

y - 8 = 1/4(x - 4)

y - 8 = 1/4x - 1

-1/4x + y - 8 = -1

-1/4x + y = 7

Now multiply each term by the largest denominator.

-x + 4y = 28

answer: the equation matches the regression

step-by-step explanation:

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.