Using the graph, derive the equation of the line in slope-intercept form.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Ay=−3x−4%0D%0Ay equals negative 3 x minus 4%0D%0A%0D%0Ay=3x−4%0D%0Ay equals 3 x minus 4%0D%0A%0D%0Ay=3x+4%0D%0Ay equals 3 x plus 4%0D%0A%0D%0A3x−y=4
To derive the equation of the line in slope-intercept form from the graph, we need to find the slope and the y-intercept.
From the graph provided, we can see that the line passes through the point (0, -4) on the y-axis. Therefore, the y-intercept is -4.
Next, we can pick another point on the line, such as (1, -7). Using these two points, we can find the slope:
Slope (m) = (Change in y) / (Change in x) = (-7 - (-4)) / (1 - 0) = -3 / 1 = -3
Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form:
y = mx + b
y = -3x - 4
Therefore, the correct answer is:
y = -3x - 4