y-6 = -3(x + 1)
A.
The slope is 3, and the y-intercept is -6.
B.
The slope is 3, and the y-intercept is 1.
C.
The slope is -3, and the y-intercept is 3.
D.
The slope is -3, and the y-intercept is 1.
are you sure these are the answers you have.
yes
okay D is your answer.
To determine the slope and y-intercept of the equation y-6 = -3(x + 1), we will rearrange it into the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation:
y - 6 = -3(x + 1)
Distribute the -3 to both x and 1:
y - 6 = -3x - 3
Add 6 to both sides to isolate the y-term:
y = -3x - 3 + 6
Simplify the equation further:
y = -3x + 3
By comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope (m) is -3, and the y-intercept (b) is 3.
Therefore, the correct answer is option C. The slope is -3, and the y-intercept is 3.