Question

Use technology to find points and graph the line 3, y, plus, 6, x, equals, minus, 6, comma3y+6x=−6, following the instructions below.

Answer 1

To graph the line 3y + 6x = -6, express it in slope-intercept form to find the slope and y-intercept, plot the y-intercept, use the slope to find another point, and draw a line through the points.

To graph the line 3y + 6x = -6, we first need to express the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To do this, we solve for y:

3y = -6x - 6

y = -2x - 2

The slope here is -2, and the y-intercept is -2.

To graph the line, plot the y-intercept (0, -2) on the y-axis.

Then, use the slope to find another point: from the y-intercept, move down 2 units (because the slope is negative) and right 1 unit.

Plot this second point and draw a straight line through both points.