Question

Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain

a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz

Answer 1

The proportion y/x = 7/2 indicates that the slope of the line is 7/2. Without additional information, we cannot determine the y-intercept from this proportion.

Step-by-step explanation:

Pierce used the proportion y/x = 7/2 when deriving the equation of a line with similar triangles. This proportion suggests that for every 2 units of increase in x, y increases by 7 units. Therefore, the slope of the line, which is the ratio of the change in y (rise) to the change in x (run), would be 7/2. Thus, the correct answer is (c) the slope of the line is 7/2.

Because the question does not provide a specific point on the line, we cannot determine the exact y-intercept from the information given. However, since the proportion does not indicate any specific y-intercept value, we cannot conclude that it is 0, 2/7, or 7/2 without additional information. We only know the relationship between y and x given by the slope.

Answer 2

`(y)/(x) = (7)/(2)`
Cross multiply.

2y = 7x
Solve for y.

y = 7/2x


C) The slope of the line is 7/2
D) The y-intercept is 0

You know the slope is 7/2 because it is the coefficient of x.
You know the y-intercept is 0 because there is no other number besides 7/2x, which is the slope.