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Which of the following statements is true about lines?

a. The standard formula for a line is y=a+bx and a and b are numbers representing the intercept and slope, respectively
b. For example y=2-5x, 2 is the slope of the line and -5 is the intercept
c. The standard formula for a line is y=a+bx and a and b are numbers representing the slope and intercept, respectively
d. For example y=2-5x, 2 is the intercept and 5 is the slope

1 Answer

4 votes

Final answer:

The correct statement about lines is that in the formula y=a+bx, a is the y-intercept and b is the slope. In the example y=2-5x, the number '2' represents the y-intercept, and '-5' is the slope of the line.

Step-by-step explanation:

The statement about lines that is true is: 'c. The standard formula for a line is y=a+bx and a and b are numbers representing the slope and intercept, respectively'. In fact, it's the other way around: 'a' is the y-intercept and 'b' is the slope. For a line given by the equation y=2-5x, the number '2' is the y-intercept, and '-5' is the slope. This is because the standard form of a linear equation is y = mx + b, where 'm' is the slope, defined as the change in the y-value over the change in the x-value (rise over run), and 'b' is the y-intercept, the point where the line crosses the y-axis when x is 0.

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