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QUESTION IMAGE

slopes of lines on graphs, practice. for each line, enter the slope in …

Question

slopes of lines on graphs, practice. for each line, enter the slope in the table. correct answers will be marked with a green check.
line
line 1
line 2
slope
check

Explanation:

Step1: Recall slope - formula

The slope formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Find points for Line 1

For Line 1, let the two points be \((x_1,y_1)=(1,-3)\) and \((x_2,y_2)=(2,-6)\). Then \(m_1=\frac{-6-(-3)}{2 - 1}=\frac{-6 + 3}{1}=-3\).

Step3: Find points for Line 2

For Line 2, let the two points be \((x_1,y_1)=(0,7)\) and \((x_2,y_2)=(6,1)\). Then \(m_2=\frac{1 - 7}{6-0}=\frac{-6}{6}=-1\).

Answer:

LineSlopeCheck
Line 2- 1