1. (2,3)
2. (-1,-1)
3. infinitely many
4. coincident
5. consistent independent, coincident, inconsistent (in that order)
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.<span><span><span>−w</span>+<span>4<span>(<span>w+3</span>)</span></span></span>=<span>−12</span></span>Step 1: Simplify both sides of the equation.<span><span><span>−w</span>+<span>4<span>(<span>w+3</span>)</span></span></span>=<span>−12</span></span><span>Simplify: (Show steps)</span><span><span><span>3w</span>+12</span>=<span>−12</span></span>Step 2: Subtract 12 from both sides.<span><span><span><span>3w</span>+12</span>−12</span>=<span><span>−12</span>−12</span></span><span><span>3w</span>=<span>−24</span></span>Step 3: Divide both sides by 3.<span><span><span>3w</span>3</span>=<span><span>−24</span>3</span></span><span>w=<span>−8</span></span>Answer:<span>w=<span>−<span>8</span></span></span>
Answer:
y = 2x - 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 ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
