Answer:
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Answer:
C. They are the same line.
Step-by-step explanation:
In order to compare the linear equations given, they need to be in the same form. The best form in order to evaluate slope and y-intercept is slope-intercept form, y = mx + b. Since the second equation is already in slope-intercept form, we need to use inverse operations to convert the first equation:
6x - 2y = 16 ---- 6x - 2y - 6x = 16 - 6x ---- -2y = -6x + 16
-2y/-2 = -6x/-2 + 16/-2
y = 3x - 8
Since both equations are in the form y = 3x - 8, then they are both the same line.
Answer:
A) 2
Step-by-step explanation:
Start off with the given information. The question states that the x-int. is 4, so you should recognize that there is a point at (4,0). Plug the point into the equation.
k(4) + 2(0) + 8 = 0
Now simplify the equation.
4k + 0 + 8 = 0
Isolate the variable, make sure it's on its own side.
4k = 8
Now get the k by itself to solve the equation. Divide both sides by 4.
k = 2
Answer:
(0.5, 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 13 → (1)
4x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the term in y
12x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
14x = 7 ( divide both sides by 14 )
x = 0.5
Substitute x = 0.5 into either of the 2 equations and evaluate for y
Substituting into (1)
2(0.5) + 3y = 13
1 + 3y = 13 ( subtract 1 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (0.5, 4 )
