On a coordinate plane, a line goes through points (0, 0) and (5, 8.5). A triangle is formed with the line and the y-axis. Use these similar triangles on the coordinate plane to determine the equation of a straight line with a slope of 5/3 that passes through the origin.
y = five-thirds x
y = three-fifths x
y = 3x + 5
y = 5x + 3

Step-by-step explanation:

It will be Y=5/3 x, Because if you put the points in Desmos then put Y=5/3 x then the line will pass through the points.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

it would open into a square depending on the type of envelope i’m not sure about the second part