Question

The equation for line g can be written as y=2/9x+10.line h which is Pharrell to line g,includes the point (-3,-1) what is the equation of line h

Answer 1

Answer:

The equation of line h is $y = \frac{2x}{9} + \frac{5}{3}$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Parallel lines:

Parallel lines have the same slope.

Line g:

$y = \frac{2x}{9} + 10$

Line h:

Parallel to line g, which means that the slope is given by $m = \frac{2}{9}$

So

$y = \frac{2x}{9} + b$

Includes the point (-3,-1)

This means that when $x = -3, y = -1$. We use this to find b. So

$y = \frac{2x}{9} + b$

$1 = \frac{2(-3)}{9} + b$

$b = 1 + \frac{2}{3}$

$b = \frac{5}{3}$

So, the equation of line h is:

$y = \frac{2x}{9} + \frac{5}{3}$