Answer:
y = x - 4
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 = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
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 (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = x - 4 ← equation of perpendicular line
Answer:
0.263 = 79/300
0.263 = 29/110
0.263 = 263/999
Step-by-step explanation:
To find out what is 0.263… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 0.263 recurring.
The infinitely-repeated digit sequence of 0.263… can be indicated by three periods. For example, 0.26333… as a fraction (repeating 3, the last digit) = 79/300.
Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 0.263. In addition, one can sometimes see the period enclosed in parentheses ().
Here, we use the overlined notation to denote 0.263 repeating as a fraction:
0.263 = 79/300
0.263 = 29/110
0.263 = 263/999
= 3.6
= 36/10
= 18/5
= 3 3/5
Answer:
the slope is "1"
the y-intercept is "5"
y = x + 5
Step-by-step explanation:
In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):
slope = (y2-y1) / (x2 - x1)
in our case:
slope = (8 - 6) / (3 - 1) = 2/2 = 1
then the slope is "1".
Now we write the general "slope-intercept" equation of a line using the slope we found:
y = m x + b
y = 1 x + b
and now use one of the points (for example (3, 8) to find the intercept "b":
(8) = 1 (3) + b
8 - 3 = b
b = 5 (y intercept)
Then the equation of the line can be written as:
y = x + 5
You would need to make common denominators