Question

a caterpillar stated at point(-2.5 -5.5) on a coordinate plane.She crawled in a straight line through the origin to point (45,y)What is y-axis of this?

Answer 1

99

Explanation:

Since the caterpillar crawled through the origin, her movement can be described by a straight line equation modeled with the points (-2.5; -5.5) and (0; 0).

The slope of a linear equation is given by:

`m=(y-y_0)/(x-x_0)\\m=(-5.5-0)/(-2.5-0)\\m=2.2`

For x = 45, the value of y is:

`y= 2.2x\\y= 2.2*45\\y=99`

The value of the y-axis is 99.