Questions: 1) Write an equation to represent the relationship of x and y. A) y = -2x B) y = 2x C) y = -2x + 1 D) y = 2x + 1

1) Write an equation to represent the relationship of x and y.  
A) y = -2x  
B) y = 2x  
C) y = -2x + 1  
D) y = 2x + 1
Transcript text: 1) Write an equation to represent the relationship of $x$ and $y$. A) $y=-2 x$ B) $y=2 x$ C) $y=-2 x+1$ D) $y=2 x+1$ Save
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△ Determine the equation of the line passing through given points. ○ Calculate slope ▷ Use two points to find the slope of the line. ☼ The slope \( m \) is \(-2\). Using points \((-1, 2)\) and \((0, 0)\), \( m = \frac{0 - 2}{0 - (-1)} = -2 \). ○ Determine y-intercept ▷ Identify where the line crosses the y-axis. ☼ The y-intercept is \( 0 \). The line crosses the y-axis at \((0, 0)\). ○ Formulate equation ▷ Use slope-intercept form to write the equation. ☼ The equation is \( y = -2x \). With \( m = -2 \) and \( b = 0 \), the equation is \( y = -2x + 0 \). ✧ The equation of the line is \( y = -2x \), corresponding to choice A. ☺ The equation of the line is $y = -2x$. This corresponds to answer choice A.

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