It think it is <span>f = 11/42 = 0.262
do some research! </span><span />
Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.
<em>(a) </em><span><em>parallel to the line y=2x-4, and has a y-intercept of 7</em>
</span>slope of first line: 2
slope of second line: 2
y=mx + b
<span>y=2x+7
</span>
<em>(b) parallel to the line y-3x=6, and has a y-intercept of -2</em>
y=3x+6
slope of first line: 3
slope of second line: 3
y=mx + b
y=3x-2
<em>(c) </em><span><em>parallel to the line 2x+3y=12, and that passes through the origin</em>
</span>3y=-2x+12
y=-2/3x+4
slope of first line: -2/3
slope of second line: -2/3
origin: (0,0)
y=mx + b
y=-2/3x + 0
y=-2/3x
<em>(d) </em><span><em>perpendicular to the line y=3x+2, and has a y-intercept of 2</em>
</span>slope of first line: 3
slope of second line: -1/3
y=mx + b
y=-1/3x + 2
<em>(e) </em><span><em>perpendicular to the line 3y+4x=18, and that passes through the origin</em>
3y=4x+18
y=4/3x+6
</span>slope of first line: 4/3
slope of second line: -3/4
origin: (0,0)
y=mx + b
y=-3/4x + 0
y=-3/4x
Answer:
a) (3, 0), (0, -2)
b) see below
Step-by-step explanation:
The x-intercept is found by setting y=0 and solving for x:
2x = 6
x = 6/2 = 3 . . . point (3, 0), x-intercept
The y-intercept is found by setting x=0 and solving for y:
-3y = 6
y = 6/-3 = -2 . . . point (0, -2), y-intercept
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The graph is the line through these points.
Add Mondays number add Tuesdays number add Wednesdays number add Thursdays number and Fridays number but don't add Saturdays and Sundays number
