Question

A plant is already 10 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then graph your equation using the axes below. How to show on graph?

Answer 1

An equation that shows the relationship between the plant's height (in centimeters) and the number of months (M) is H = M + 10.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line refers to the general equation of a linear function and it is represented by this mathematical equation;

y = mx + b

Where:

• m represents the slope or rate of change.
• x and y are the points.
• b represents the y-intercept or initial value.

Based on the information provided about this equation, we have the following slope and y-intercept;

Slope, m = 1.

y-intercept, b = 10 cm (this is the initial height of the plant).

By substituting the given parameters, we have the following:

y = mx + c

y = x + 10

H = M + 10