The slope of the given line = 1 so the slope of the line perpendicular to it will be -(1/1) = -1.
It also passes through point (1, -1) so we use the point slope equation

y - y1 = m(x - x1)

y - -1) = -1(x - 1)
y + 1 = -x + 1
y = - x <--------- that's the answer

4 0

3 years ago

The denominator of a fraction is four more than the numerator. If both numerator and denominator are increased by eight, the sim

Naddik [55]

The denominator of the fraction is four more than the numerator. The fraction:
$\frac{x}{x+4}$

If both numerator and denominator are increased by eight, the simplified result is 5/6:
$\frac{x+8}{x+4+8}=\frac{5}{6} \\ \\
\frac{x+8}{x+12}=\frac{5}{6} \ \ \ |\times (x+12) \\ \\
x+8=\frac{5}{6}x+\frac{5}{6} \times 12 \\ \\
x+8=\frac{5}{6}x+10 \\ \\
x-\frac{5}{6}x=10-8 \\ \\
\frac{1}{6}x=2 \ \ \ |\times 6 \\ \\
x=12 \\ \\
\frac{x}{x+4}=\frac{12}{12+4}=\boxed{\frac{12}{16}}$

The original fraction is 12/16.

6 0

4 years ago

Don't be childish I will report thanks ​

Don't be childish I will report thanks