Intermediate Math graphing & functions HELP! please.?

Question

Write equation of a line , using function notation.

49. through (2, -5) perpendicular to 3y=x-6
57. Slope -1/2, Y-intercept 11
65. Through (6, -2) parallel 2x+4y=9
69. Through (6,1) Parallel 8x-y=9
71. Through (5,-6) perpendicular y=9

Answer 1

49)

Step 1:

The line equation is .

Slope-intercept form line equation is , where is slope and is -intercept.

Convert the equation   into Slope-intercept form.

Divide each side by .

.

Compare with .

.

Because the slopes of perpendicular lines are negative reciprocals, the slope of perpendicular is .

The perpendecular line equation is .

Step 2:

Find the - intercept by substituting the point in the line equation .

Substitute the in .

The perpedicular line equation in slope-intercept form is .

Solution:

The liner function is .

Answer 2

57)

Step 1:

Slope of the line and -intercept is .

Slope-intercept form line equation is , where is slope and is -intercept.

Substitute the values for in .

 

Equation of the line is .

Solution:

Linear function is .

Answer 3

65)

Step 1:

The line equation is .

Slope-intercept form line equation is , where is slope and is -intercept.

Convert the equation into Slope-intercept form.

Divide each side by .

.

Compare with .

.

Because the slopes of parallel lines are equal, the slope of parallel is .

The parallel line equation is .

Step 2:

Find the - intercept by substituting the point in the line equation .

Substitute the value of in .

The parallel line equation in slope-intercept form is .

Solution:

The liner function is .

Answer 4

69)

Step 1:

The line equation is .

Slope-intercept form line equation is , where is slope and is -intercept.

Convert the equation into Slope-intercept form.

Compare with .

.

Because the slopes of parallel lines are equal, the slope of parallel is .

The parallel line equation is .

Step 2:

Find the - intercept by substituting the point in the line equation .

Substitute the value of in .

The parallel line equation in slope-intercept form is .

Solution:

The liner function is .

Answer 5

71)

Step 1:

The line equation is .

Above line is horizontal. It is perpendicular to -axis and parallel to -axis.

Required line is perpendicular to and passes through .

The line equation is .

Above line is vertical line.

Vertical lines are not functions.

Solution:

The line equation is and it is not a function.