Graph a linear equation using the slope and -intercept.

Question

Graph a linear equation using the slope and  -intercept.

Quizplus · Accepted Answer

We can use the slope-intercept form of a linear equation to graph the equation: y = mx + b, where m is the slope and b is the y-intercept. We are given the slope and y-intercept as -2 and 11, respectively. 
So the equation of the line is: y = -2x + 11. 
We can plot the y-intercept at (0, 11) and use the slope (-2) to find another point on the line. For example, if we move one unit to the right (increase x by 1), we need to move 2 units down (decrease y by 2) to stay on the line. So another point on the line is (1, 9). We can now connect these two points to graph the line. 
Out of the given choices, only option A has the correct slope-intercept form of the equation and correctly depicts the line.

Graph a Linear Equation Using the Slope and -Intercept