Question

4.5 slope intercept form
question 7 of 15 (1 point) | question attempt: 1 of 3
between the time x (in hours) since the tablet began charging and the amount of battery charge y (as a perce
amount of battery charge (%%)
time (hours)
write a linear equation to represent the relationship between x and y.

Explanation:

Step1: Identify slope-intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
From the graph, when $x = 0$ (the y - intercept), $y=30$. So, $b = 30$.

Step2: Calculate the slope

To find the slope $m$, we can use two points. Let's take $(0,30)$ and $(1,40)$ (we can see from the graph that when $x$ increases by 1, $y$ increases by 10). The formula for slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using $(x_1,y_1)=(0,30)$ and $(x_2,y_2)=(1,40)$, we get $m=\frac{40 - 30}{1 - 0}=\frac{10}{1}=10$.

Step3: Write the equation

Substitute $m = 10$ and $b = 30$ into the slope - intercept form $y=mx + b$. So the equation is $y = 10x+30$.

Answer:

$y = 10x + 30$