Answer:
y = - 3x - 7
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 ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)
m = 
= 
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 1), then
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation in slope- intercept form
Answer:
x,x,12,12 ( for the paragraph part)
Step-by-step explanation:
Solution
We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
3x+6y=5 (Subtract 3x on both sides.)
6y=−3x+5 (Divide both sides by 6.)
y=−
6
3
x+
6
5
y=−
2
1
x+
6
5
The slope of our first line is equal to −
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is −
x
1
.
The negative reciprocal of −
2
1
is equal to 2, therefore 2 is the slope of our line.
Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:
3=(2×1)+b
3=2+b
b=3−2=1
Substitute this value for b in the equation y=2x+b:
y=2x+1
Hence, the equation of the line is y=2x+1.
I don't know if my answer is correct but I hope it helps
Answer:
3
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
