Ontario Mathematics Proficiency Practice Test

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What is the slope of a line represented by the equation y = 2x + 3?

2

In the equation y = 2x + 3, the slope is represented by the coefficient of x. In this case, the equation is in the slope-intercept form, which is typically expressed as y = mx + b, where m is the slope and b is the y-intercept. Here, the coefficient of x is 2, which indicates that for every 1 unit increase in x, y increases by 2 units. This positive relationship between x and y indicates an upward slope.

The other numbers in the equation relate to different components: the +3 represents the y-intercept, which is the point where the line crosses the y-axis. This value does not influence the slope itself, while options suggesting a slope of 1/2 or -2 would imply very different rates of change between x and y, but are not relevant to this specific equation. Hence, the slope of the line given is 2.

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