Write an equation of the line that passes through a pair of points: (2, 3), (4, -2) a. y = -5/2 x -1/8
b. y = -5/2x -8
c. y = -5/2x +8
d. y = 5/2x +8

C. y = -5/2x +8

Step-by-step explanation:

To solve first find the slope using the slope formula which is m=. To find the slope simply plug in the points, which equals -5/2. Next, put the equation into slope-point form, which is . I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+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.