write each equation in slope intercept form
y + 3 = - 3(x-6)
by inspection
y= -3x+15
check that.
To write the given equation in slope-intercept form (y = mx + b), we need to simplify the equation and solve it for y.
Starting with the given equation: y + 3 = -3(x-6)
First, distribute -3 to both terms inside the parentheses:
y + 3 = -3x + 18
Next, subtract 3 from both sides to isolate y:
y = -3x + 18 - 3
Simplifying further:
y = -3x + 15
So, the equation y + 3 = -3(x-6) can be written in slope-intercept form as y = -3x + 15.