Question

Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph

Answer 1

ANSWER:

$y=2x-1$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

$\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}$

The slope can be calculated as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

We use the points (4,7) and (1,1) to calculate the slope:

$m=\frac{1-7}{1-4}=\frac{-6}{-3}=2$

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

$\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}$

Therefore, the equation would be:

$y=2x-1$