Answer:
A. Write the equations in slope-intercept form. (Show your work.)
B. Graph the pair of linear equations.
C. Use the graph to estimate the solution to the system of equations.
Help??
A. The first equation in slope-intercept form is y = -0.5x + 3. The second equation in slope-intercept form is y = 0.6x - 2.
B. The graph of the two equations is attached below.
C. The solution of the system of equation is (4.545,0.727)
A. To write the equations in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to isolate "y" on one side of each equation.
1. 2x + 4y = 12
First, isolate "y" by subtracting 2x from both sides:
4y = -2x + 12
Next, divide both sides by 4 to get "y" by itself:
y = (-2x + 12) / 4
Simplify the equation:
y = -0.5x + 3
So, the first equation in slope-intercept form is y = -0.5x + 3.
2. 3x - 5y = 10
First, isolate "y" by subtracting 3x from both sides:
-5y = -3x + 10
Next, divide both sides by -5 to get "y" by itself:
y = (-3x + 10) / -5
Simplify the equation:
y = 0.6x - 2
So, the second equation in slope-intercept form is y = 0.6x - 2.
B. To graph the pair of linear equations, plot the y-intercept (where x = 0) and use the slope to find other points.
1. Graph the equation y = -0.5x + 3:
Plot the y-intercept at (0, 3).
Use the slope -0.5 to find another point; for example, if x = 2, then y = -0.5(2) + 3 = 2.
2. Graph the equation y = 0.6x - 2:
Plot the y-intercept at (0, -2).
Use the slope 0.6 to find another point; for example, if x = 3, then y = 0.6(3) - 2 = 0.
C. To estimate the solution to the system of equations, look for the point where the two lines intersect. This point represents the x and y values that satisfy both equations simultaneously. From the graph, we can interpret that the solution of the system of equation is (4.545,0.727)
To know more about equation:
#SPJ6
if the price of a $10 game is
marked up to $15.
Answer:
50%
Step-by-step explanation:
10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.
a triangle
B.
ellipse trapezoid
C.
a square
D.
a rectangle