Question

question 5 of 10, step 1 of 1 find the equation of the line in slope - intercept form that passes through the following points. simplify your answer. (1, 3) and (8, 5)

Explanation:

Step1: Calculate slope of the line

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(1,3)$ and $(8,5)$:
$m=\frac{5-3}{8-1}=\frac{2}{7}$

Step2: Solve for y-intercept $b$

Use slope-intercept form $y=mx+b$, substitute $m=\frac{2}{7}$ and point $(1,3)$:
$3=\frac{2}{7}(1)+b$
$3-\frac{2}{7}=b$
$\frac{21}{7}-\frac{2}{7}=b$
$b=\frac{19}{7}$

Step3: Write final equation

Substitute $m=\frac{2}{7}$ and $b=\frac{19}{7}$ into $y=mx+b$.

Answer:

$y=\frac{2}{7}x+\frac{19}{7}$