Two lines intersect to form 4 angles. Angles 2 and 4 are vertical angles with angle 2 = 4x + 12 and angle 4 = 7x - 6. a) Find x.
b) What is the measure of angle 2 ?
1 answer:
Answer:
Does this help?
Step-by-step explanation:
2 = 4x + 12 and angle 4 = 7x - 6
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 2
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Graph 2= 4x + 12
Slope: Undefined
y-intercept: No y-intercept
Plot each graph on the same coordinate system.
4=
2=
4=
2= 4x + 12
4= 7x − 6
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Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(-3,2) and (0,1)
The slope m is
step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)
so
The slope is
step 3
Find the equation of the line in point slope form
we have
----> equation in point slope form
Convert to slope intercept form