Question

How do I write an equation represented by the line?

Answer 1

Answer:

This line can be represented by the line y = 3/4x + 2.

Step-by-step explanation:

The slope is identified as the m in y = mx + b. The slope is the rise/run of your line (AKA how many units it goes upwards/downwards and then goes to the right/left to meet the second given point).

In this case, the line rises 3 units from 2 to 5, and then goes to the right by 4 units to meet the coordinate (4, 5).

B in the equation refers to the y-intercept, or where the line intersects/crosses the y-axis. In this case, it is the coordinate (0, 2).

Finally, x is irrelevant and is placed in the equation for no reason (at least that I am aware of in my several years of high school math).

Therefore, your final equation is y = 3/4x + 2.