Question

the slope of the line shown below is 1. what is the value of a? 1 2 4 8

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{\Delta y}{\Delta x}$, where $m$ is the slope, $\Delta y$ is the change in $y -$ values and $\Delta x$ is the change in $x -$ values. Given $m = 1$, and from the graph $\Delta y=a$ and $\Delta x = 4$.

Step2: Substitute into slope formula

Substitute $m = 1$, $\Delta y=a$ and $\Delta x = 4$ into $m=\frac{\Delta y}{\Delta x}$. We get $1=\frac{a}{4}$.

Step3: Solve for $a$

Multiply both sides of the equation $1=\frac{a}{4}$ by 4. So, $a=4\times1 = 4$.

Answer:

4