Graph the linear equation.
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Question

Quizplus · Accepted Answer

The equation in slope-intercept form is y = -2x + 4. Since the slope is negative, the graph will have a negative slope, and since the y-intercept is 4, the graph will intersect the y-axis at (0,4). Using this information, we can plot two points and draw a line through them to graph the equation. Points that can be used are (0,4) and (2,0). The resulting graph matches with option B. The equation is in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept. We can see that the slope is negative (going down from left to right) and the y-intercept is 4. Therefore, we can start at the point (0,4) and use the slope to find another point on the line. For every 2 units to the right, we go down 1 unit. So, from (0,4), we can go 2 units to the right and 1 unit down to get the point (2,3). We can continue this pattern to get other points on the line and then connect them to graph the line.

Graph the Linear Equation