Parallel Lines

Step 1: Find the slope of the line through $(-1%2C%204)$ and $(0%2C%206)$ .
The slope $m$ of a line through points $(x_1%2C%20y_1)$ and $(x_2%2C%20y_2)$ is given by: $m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D$ For the points $(-1%2C%204)$ and $(0%2C%206)$ , the slope is: $m%20%3D%20%5Cfrac%7B6%20-%204%7D%7B0%20-%20(-1)%7D%20%3D%20%5Cfrac%7B2%7D%7B1%7D%20%3D%202$

Step 2: Use the slope condition for parallel lines.
Since the line through $(3%2C%20y)$ and $(2%2C%207)$ is parallel to the line through $(-1%2C%204)$ and $(0%2C%206)$ , they must have the same slope. Thus, the slope of the line through $(3%2C%20y)$ and $(2%2C%207)$ must also be 2. The slope of the line through $(3%2C%20y)$ and $(2%2C%207)$ is: $m%20%3D%20%5Cfrac%7B7%20-%20y%7D%7B2%20-%203%7D%20%3D%20%5Cfrac%7B7%20-%20y%7D%7B-1%7D%20%3D%20y%20-%207$ Setting this equal to 2: $y%20-%207%20%3D%202$ $y%20%3D%209$ Thus, the value of $y$ is 9. Therefore, the correct answer is 2. 9.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Parallel Lines

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs