Select the two statements that are true about the equation y + 6 = -10(x – 3)

To determine which statements are true about the equation ( y + 6 = -10(x – 3) ), we first need to rewrite it in the slope-intercept form ( y = mx + b ), where ( m ) is the slope.

1. Start with the given equation:

[ y + 6 = -10(x – 3) ]

2. Distribute -10 on the right side:

[ y + 6 = -10x + 30 ]

3. Now, subtract 6 from both sides to solve for ( y ):

[ y = -10x + 30 – 6 ]

[ y = -10x + 24 ]

From this, we can see that the slope ( m ) is -10.

Next, let’s substitute ( x = 3 ) into the equation to find the corresponding ( y )-value:

[ y = -10(3) + 24 ]

[ y = -30 + 24 ]

[ y = -6 ]

This means one point on the line is (3, -6).

Now, let’s evaluate the statements:

– The slope of the line is -10. (True)

– The slope of the line is 3. (False)

– One point on the line is (3, 6). (False)

– One point on the line is (3