Find the equation of the line
1 answer:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 2 ← is in slope- intercept form
with slope m = 6
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (6, - 2 ) into the partial equation
- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1
y = - x - 1 ← equation of line
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Answer:
Step-by-step explanation:
1) in order to graph the required direct line it needed two points:
2) one of these two points is Y-intercept. According to the condition it is (0;1);
3) in order to find the second point, it is enough to apply the given slope: to start in point (0;1), then to move to the left direction (-5 units, move no. 1), then to move up (+7 units, move no. 2);
4) to graph the line between two points (red line); y= -7/5x +1.
All the details are in the attachment.
Answer:
The value of x is 0.5
The value of y is 0.8
The value of z is 0.9
Step-by-step explanation:
* Lets explain how to find the values of x , y and z
- <u><em>From the attached figure</em></u>
# and
intersect each other at a point
- When two lines intersect each other at a point they formed
congruent vertical opposite angles
∴ The angle of measure (50z + 13)° = the angle of measure (80z - 14)°
because thy are vertical opposite angles
∴ 50z + 13 = 80z - 14
- Add 14 to both sides
∴ 50z + 27 = 80z
- Subtract 50z from both sides
∴ 27 = 30z
- Divide both sides by 30
∴
* The value of z is 0.9
- <u><em>From the attached figure</em></u>
# The angles of measures (50z + 13)° and (45x + 19/2)° have sum
of 90°
∴ 50z + 13 + 45x + 19/2 = 90
∵ z = 0.9
∴ 50(0.9) + 13 + 45x + 19/2 = 90
∴ 45 + 13 + 45x + 9.5 = 90
- Add like term in the left hand side
∴ 67.5 + 45x = 90
- Subtract 67.5 from both sides
∴ 45x = 22.5
- Divide both sides by 45
∴ x = 0.5
* The value of x is 0.5
- <u><em>From the attached figure</em></u>
# There is a ray perpendicular to line
∴ The measure of the angle whose measure (225y/2)° is 90°
∴
- Multiply both sides by 2
∴ 225y = 180
- Divide both sides by 225
∴
* The value of y is 0.8