It says:
Study the two lines given below. How can you describe the graphs of the two lines? Justify your conclusions.
11.
4x = -16 - 3 y
8y - 13 = 6x
I changed them both to standard form but I'm not sure if that's how I even start it. Can someone help?
Study the two lines given below. How can you describe the graphs of the two lines? Justify your conclusions.
11.
4x = -16 - 3 y
8y - 13 = 6x
I changed them both to standard form but I'm not sure if that's how I even start it. Can someone help?
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3y=-4x-16
y = -4x/3 -16/3 Slope = -4/3 y intercept = -16/3
8y = 6x+13
y = 6x/8 + 13/8 Slope = 3/4 y intercept =13/8
m1*m2 = -1 so the lines are perpendicular.
y = -4x/3 -16/3 Slope = -4/3 y intercept = -16/3
8y = 6x+13
y = 6x/8 + 13/8 Slope = 3/4 y intercept =13/8
m1*m2 = -1 so the lines are perpendicular.
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In order to graph or even realize what the lines of the graphs will look like you need the equations in slope/intercept form which is y = mx + b.
4x = -16 - 3y --to slope/intercept form--> y = -4/3x - 16/3
8y - 13 = 6x --to slope/intercept form--> y = 3/4x + 13/8
Just by looking at those two equations I can tell that they will intercept with each other because their slopes are opposite, or perpendicular, to one another. Also, if you were to look for their point of intersection then you will set these two equations equal to each other.
4x = -16 - 3y --to slope/intercept form--> y = -4/3x - 16/3
8y - 13 = 6x --to slope/intercept form--> y = 3/4x + 13/8
Just by looking at those two equations I can tell that they will intercept with each other because their slopes are opposite, or perpendicular, to one another. Also, if you were to look for their point of intersection then you will set these two equations equal to each other.