Write an equation in slope-intercept form for the line passing through the pair of points. (–1, 2), (4, –3)
1 answer:
Answer:
y = - x + 1
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (4, - 3)
m = =
= -1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = 1 + c ⇒ c = 2 - 1 = 1
y = - x + 1 ← equation in slope- intercept form
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Answer:
as a decimal is 1.735.
Step-by-step explanation:
To convert a fraction into a decimal, you first have to put the fraction into simplest form.
1. Simplest form
To do this you must find a number you can equally divide both numbers by.
That number in this situation, 5.
Now you must make this simplest formed fraction into a mixed number.
2. Simplest form into Mixed number
To do this you see how many times the denominator, the bottom number of the fraction, goes into the numerator, the upper part of the fraction.
Since 200 x 2 = 400 and since 400 > 347 this means...
200 goes into 347, once.
Finally, subtract and divide.
Remember put the whole number in front of the mixed number, before the decimal
3. Subtract, divide, decimalize
Hopes this helps you!
Have a good afternoon!