Question

(Graphing Linear Equations MC)

Which graph represents the linear equation y = −5x − 4?

a graph of a line that passes through the points negative 2 comma 5 and 0 comma negative 3

a graph of a line that passes through the points negative 4 comma negative 1 and 0 comma negative 2

a graph of a line that passes through the points negative 1 comma 1 and 0 comma negative 4

a graph of a line that passes through the points negative 4 comma 3 and negative 2 comma negative 3

Answer 1

To graph the linear equation y = -5x - 4, we can use its slope-intercept form, which is y = mx + b, where m is the slope (-5 in this case) and b is the y-intercept (-4 in this case).

We can plot the y-intercept at (0, -4), and then use the slope to find other points on the line. For example, if we move 1 unit to the right (increase x by 1), we move 5 units down (decrease y by 5), since the slope is -5. This gives us the point (1, -9). We can repeat this to find more points and draw the line.

From the given options, the graph that represents the linear equation y = −5x − 4 is the one that passes through the points (-1, 1) and (0, -4). Therefore, the correct answer is:

a graph of a line that passes through the points negative 1 comma 1 and 0 comma negative 4.