To determine the slope of a linear equation, we can use the formula:
\(\text{slope} = \frac{{\text{change in } y}}{{\text{change in } x}}\)
Let's plug in the given points and calculate the slopes for each equation:
1. Equation containing the point (4,10)
\(\text{slope} = \frac{{10 - 0}}{{4 - 0}} = \frac{{10}}{{4}} = 2.5\)
2. Equation containing the point (-2, -5)
\(\text{slope} = \frac{{-5 - 0}}{{-2 - 0}} = \frac{{-5}}{{-2}} = \frac{{5}}{{2}} = 2.5\)
3. Equation containing the point (20, 8)
\(\text{slope} = \frac{{8 - 0}}{{20 - 0}} = \frac{{8}}{{20}} = 0.4\)
4. Equation containing the point (-1, -2.5)
\(\text{slope} = \frac{{-2.5 - 0}}{{-1 - 0}} = \frac{{-2.5}}{{-1}} = 2.5\)
The slope for the third equation (equation containing the point (20, 8)) is different from the others. Therefore, the answer is 3. a proportional linear equation that contains the point (20, 8).
Which of the following proportional linear equations has a graph with a slope different from the others?
1. a proportional linear equation that contains the point (4,10)
2. a proportional linear equation that contains the point (-2, -5)
3. a proportional linear equation that contains the point (20, 8)
4. a proportional linear equation that contains the point (-1, -2.5)
1 answer