What equation is equivilant to y-6=-12(x+4)
that looks like point-slope form
slope-intercept ... y = -12 x - 42
To find an equation equivalent to y - 6 = -12(x + 4), we can start by distributing the -12 into the parentheses:
y - 6 = -12x - 48
Next, let's move the -6 to the right side by adding it to both sides of the equation:
y = -12x - 48 + 6
Simplifying, we have:
y = -12x - 42
Therefore, an equation equivalent to y - 6 = -12(x + 4) is y = -12x - 42.
To find an equation that is equivalent to y - 6 = -12(x + 4), we will perform some algebraic steps to get it into a different form.
First, let's distribute the -12 to (x + 4) by multiplying:
y - 6 = -12 * x - 12 * 4
Simplifying the right side:
y - 6 = -12x - 48
Next, we'll isolate the y-term by adding 6 to both sides of the equation:
y - 6 + 6 = -12x - 48 + 6
Simplifying further:
y = -12x - 42
Therefore, an equation that is equivalent to y - 6 = -12(x + 4) is y = -12x - 42.