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Which of the following describes the line containing (0,3) and (4, -5)?

a) It has a negative slope
b) It passes through the point (2, -1)
c) It is not a vertical line
d) It is a linear equation

1 Answer

3 votes

Final answer:

The line containing the points (0,3) and (4,-5) has a negative slope and is a linear equation.

Step-by-step explanation:

The line containing the points (0,3) and (4,-5) has a negative slope. To find the slope, we can use the formula: slope = (change in y) / (change in x). Plugging the values into the formula, we get: slope = (-5 - 3) / (4 - 0) = -8 / 4 = -2. Therefore, the line has a negative slope.

The line does not pass through the point (2,-1) because the x-coordinate of (2,-1) is not equal to the x-coordinate of either of the given points.

The line is a linear equation because it can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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