Question

The equation of line g is y=(8)/(9)x+2. Line h is parallel to line g and passes through (9,4).

Answer 1

The equation of the line h parallel to line g and passing through the point (9,4) is y=(8/9)x-4.

Step-by-step explanation:

The equation of line g is y = (8/9)x + 2. To find the equation of a line parallel to line g and passing through (9,4), we can use the same slope as line g. Since the slope of line g is 8/9, the equation of line h will also be in the form y = (8/9)x + b. To find the value of b, we can substitute the coordinates of the point (9,4) into the equation and solve for b:

4 = (8/9)(9) + b
4 = 8 + b
b = -4

Therefore, the equation of line h is y = (8/9)x - 4.

Answer 2

The equation of line h passing through the point (9,4) and parallel to line g is y = (8/9)x - 4.

The equation of a line is expressed as:

y = mx + b

Where m is the slope and b is the y-intercept.

Given the parameter:

The equation of line g: y = (8/9)x + 2

Line h is parallel to line g and passes through (9,4).

Since lines g and h are parallel, they will both have the same slope.

Hence, the slope of line h = 8/9

Now, to determine the equation of line h:

Plug the slope m = 8/9 and point (9,4) into the point-slope form:

y - y₁ = m( x - x₁ )

y - 4 = (8/9)( x - 9 )

y - 4 = (8/9)x - 8

y - 4 + 4 = (8/9)x - 8 + 4

y = (8/9)x - 4

Therefore, the equation of line h is y = (8/9)x - 4.

This question is incomplete, the complete question is:

The equation of line g is y = (8/9)x +2. Line h is parallel to line g and passes through (9,4). What is the equation of line h?