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Intermediate Math graphing & functions HELP! please.?

0 votes

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

asked Feb 12, 2015 in ALGEBRA 2 by anonymous
reshown Feb 12, 2015 by goushi

5 Answers

0 votes

49)

Step 1:

The line equation is image.

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

Convert the equation image  into Slope-intercept form.

image

Divide each side by image.

image.

Compare with image.

image.

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

The perpendecular line equation is image.

Step 2:

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

image

image

image

Substitute the image in image.

The perpedicular line equation in slope-intercept form is image.

Solution:

The liner function is image.

answered Feb 16, 2015 by david Expert
edited Feb 16, 2015 by david
0 votes

57)

Step 1:

Slope of the line image and image-intercept is image.

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

Substitute the values for image in image.

 image

Equation of the line is image.

Solution:

Linear function is image.

answered Feb 16, 2015 by david Expert
0 votes

65)

Step 1:

The line equation is image.

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

Convert the equation image into Slope-intercept form.

image

Divide each side by image.

image.

Compare with image.

image.

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

The parallel line equation is image.

Step 2:

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

image

image

image

Substitute the value of image in image.

The parallel line equation in slope-intercept form is image.

Solution:

The liner function is image.

answered Feb 16, 2015 by david Expert
edited Feb 16, 2015 by david
0 votes

69)

Step 1:

The line equation is image.

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

Convert the equation image into Slope-intercept form.

image

Compare with image.

image.

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

The parallel line equation is image.

Step 2:

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

image

image

image

Substitute the value of image in image.

The parallel line equation in slope-intercept form is image.

Solution:

The liner function is image.

answered Feb 16, 2015 by david Expert
edited Feb 16, 2015 by david
0 votes

71)

Step 1:

The line equation is image.

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

Required line is perpendicular to image and passes through image.

The line equation is image.

Above line is vertical line.

Vertical lines are not functions.

Solution:

The line equation is image and it is not a function.

answered Feb 16, 2015 by david Expert

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