Slope Quiz (Part 1)

The y-intercept of an equation represents the point where the line crosses the y-axis. In this equation, the y-intercept is -8, which means that when x is equal to 0, the value of y is -8. This can be determined by substituting x=0 into the equation, resulting in y=-8. Therefore, the correct answer is -8.

The slope of a linear equation in the form y = mx + b is represented by the coefficient of x, which in this case is 4. Therefore, the slope of the graph with the equation y = 4x + 7 is 4.

The y-intercept of an equation represents the point where the line crosses the y-axis. In the equation y = 3x - 4, the y-intercept is the value of y when x is equal to 0. Plugging in x = 0 into the equation gives us y = 3(0) - 4, which simplifies to y = -4. Therefore, the y-intercept of the equation is -4.

If a graph shows a horizontal line, it means that the y-coordinate remains constant regardless of the change in the x-coordinate. In other words, there is no change in the y-value as the x-value increases or decreases. This indicates that the slope of the line is zero.

The equation y = x represents a straight line with a slope of 1. This means that for every unit increase in the x-coordinate, the y-coordinate also increases by 1 unit. The answer "one" is another way of expressing the slope of 1. The fraction 1/1 is equivalent to 1, indicating that the slope is 1.

The slope of a line can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the coordinates are (2, 0) and (1, 2). Plugging these values into the formula, we get (0 - 2) / (2 - 1) = -2 / 1 = -2. Therefore, the slope of the line is -2.