Question

An equation is shown y-=-2(x+5).Complete the statements.The equation rewritten in slope intercept form is [DROP DOWN 1].The point [DROP DOWN 2] is on the graph of the line.

Answer 1

The equation rewritten in slope intercept form is (y = -2x - 10).

Explanation:

The equation you’ve given is (y = -2(x+5)). In slope-intercept form, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept.

First, distribute the -2 inside the parentheses: (y = -2x - 10).

So, the equation rewritten in slope-intercept form is (y = -2x - 10).

For the point that lies on the line, we can use the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is -10. Therefore, the point (0, -10) is on the graph of the line.

So, the completed statements are:

The equation rewritten in slope intercept form is (y = -2x - 10).

The point (0, -10) is on the graph of the line.

Hope it Helps!