Answer:
y = - 3x + 5
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, - 4) and (x₂, y₂ ) = (1, 2)
m = 
= 
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - 3x + 5 ← equation of line
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
3m² = 3 - 8m
0 = 3m² + 8m - 3
0 = (3m - 1 )(m + 3)
m = -3, 0.33
Option A - (0,0) is a solution to both the equations. is the only true statement.
Step-by-step explanation:
Step 1 :
Given 2 equations are
n = m
n = 4m
Step 2:
(0,0) is a solution to both the equations.
This statement is true as substituting the point , the equations are true.
Step 3 :
Every solution to n=m is also a solution to n=4 m
Take the point (5,5)
This point lies on the equation n = m, as both the x and y co ordinates are same
n = 4 m = 4 × 5 = 20
So here for n = 5, n = 4 m is not true and hence this point is not a solution for the second equation thought it is a solution for the first equation
Hence this statement is not true
Step 4:
The graph of the solutions is parallel lines
this statement is not true because the 2 lines intersect at (0,0) as observed from step 2.
Step 5 :
No point on the line n=m is also a point on n=4 m
This statement is not true because (0,0) is a point on both the lines.
Step 6 :
Answer :
Option A - (0,0) is a solution to both the equations. is the only true statement.
