Question

Question 10The slope-intercept form of the line that passes through the points (1, 2) and (5, 10) is

Answer 1

We need to find the equation using the given points.

First, we need to find the slope, which is given by the next formula:

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

Use P1(1,2) and P2(5,10).

Replacing:

$m=\frac{10-2}{5-1}=\frac{8}{4}=2$

Now, use the formula for slope-intercept form:

$y-y_1=m(x-x_1)$

Replace using P(1,2) and m = 2. Then:

$\begin{gathered} y-2=2(x-1) \\ \text{Solve for y:} \\ y-2=2x-2 \\ y=2x-2+2 \\ \text{Hence, the result is:} \\ y=2x \end{gathered}$