Question

the equation for the line of best fit is y = -x + 25. according to the equation, which of these statements is true? liam probably typed about 25 words incorrectly at the start of the typing class. liam would probably type about 25 words incorrectly after 10 weeks of the typing class.

Explanation:

Step1: Recall linear - equation form

The equation of the line is $y=-x + 25$, which is in the form $y=mx + b$ where $m$ is the slope and $b$ is the y - intercept.

Step2: Interpret y - intercept

When $x = 0$ (start of the typing class, i.e., 0 weeks since class started), substituting $x = 0$ into $y=-x + 25$ gives $y=25$. So Liam probably typed about 25 words incorrectly at the start.

Step3: Analyze for $x = 10$

When $x = 10$ (10 weeks since class started), $y=-10 + 25=15$. So he would type 15 words incorrectly after 10 weeks, not 25.

Answer:

Liam probably typed about 25 words incorrectly at the start of the typing class.