Question

What is the slope of the line on the graph? Enter your answer in the box. A coordinate grid that includes the line y equals negative two x. Points are plotted at begin ordered pair 3 comma negative six end ordered pair begin ordered pair 0 comma 0 end ordered pair and begin ordered pair negative 3 comma 6 end ordered pair.

Answer 1

The slope of the line described by the equation y = -2x is -2. This indicates that the line has a negative slope, decreasing 2 units on the y-axis for every increase of 1 unit on the x-axis.

Step-by-step explanation:

The slope of a line is a measure of its steepness, typically represented by the symbol 'm' in the equation of a straight line, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. To calculate the slope of a line given points on a graph, we use the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two distinct points on the line. For the given line y = -2x, which is already in slope-intercept form, the slope 'm' is directly provided as -2. No calculation is needed since the equation itself indicates that the slope is -2, meaning for every increase of 1 on the x-axis, there is a decrease of 2 on the y-axis.

Answer 2

The slope is -2.
Hope this helps!