graph the equation 15y + 5x = -15

Question

we just started graphing and the directions say, graph each equation 15y + 5x = -15.

Answer 1

Write the equation in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

The equation is 15y + 5x = -15.

Divide each side by 5.

3y + x = -3.

Subtract x from each side.

3y = - 3 - x

Divide each side by 3.

y = - 3/3 - x/3

y = - 1 - x/3 = - x/3-1.

Compare the equation with slope-intercept form y = mx + b.

slope = -1/3 and y-intercept is -1.

y-intercept is -1, so the line crosses the y-axis at (0, -1)

Using slope find the next point.

Slope = rise/run = -1/3

Start at point (0, -1), move 1 unit down and 3 units right, then plot the point (3, -2).

Draw a line through these points.

Graph :