Question

2 - 4 teacher_s_slope_parallel lines_p8 (lms graded)
find the slope of each line in the figure

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Find slope of line with points (-15.5,0) and (-4,8)

$m_1=\frac{8 - 0}{-4-(-15.5)}=\frac{8}{-4 + 15.5}=\frac{8}{11.5}=\frac{16}{23}$

Step3: Find slope of line with points (0,6.2) and (6.8,13)

$m_2=\frac{13 - 6.2}{6.8-0}=\frac{6.8}{6.8}=1$

Step4: Find slope of line with points (0.4,-3) and (12,0)

$m_3=\frac{0-(-3)}{12 - 0.4}=\frac{3}{11.6}=\frac{15}{58}$

Step5: Find slope of line with points (-5,-8.8) and (4,-12)

$m_4=\frac{-12-(-8.8)}{4-(-5)}=\frac{-12 + 8.8}{4 + 5}=\frac{-3.2}{9}=-\frac{16}{45}$

Answer:

The slopes are $\frac{16}{23}$, $1$, $\frac{15}{58}$, $-\frac{16}{45}$ for the respective lines calculated above.