Answer:
m = 0.667
Step-by-step explanation:
Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.
Calculate the graph plot coordinates for 4x - 6y = 14
Solve 4x - 6y = 14 for x and also for y.
Calculate and show the solution for the slope of 4x - 6y = 14
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
4x - 6y = 14
4x - 6(0) = 14
x1 = 3.5 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
4x - 6y = 14
4(0) - 6y = 14
y2 = -2.333 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:
(x1,y1) and (x2,y2)
(3.5,0) and (0,-2.333)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14
m = (y2 - y1)/(x2 - x1)
m = (-2.333 - 0)/(0 - 3.5)
m = 0.667
hope this is correct! c:
Answer:
Step-by-step explanation:
hello :
the system is : y= 3x+4....(*)
y+6=3x....(**)
by (**) : y = 3x - 6
so : y= 3x+4
y= 3x - 6
means : 3x+4 = 3x - 6
4= -6.......(false)
conclusion : no reals solutions
Answer:
B.
Step-by-step explanation:
The opposite of 5/2 is -5/2 which is -2 1/2 and the opposite of -1/2 is 1/2.
Answer:
look below
Step-by-step explanation:
thing to note:
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
opposite= side across angle you are using
hypotenuse= side across 90 degree angle
adjacent= remaining side
angle B
sin = 6/10
cos = 8/10
tan = 6/8
angle C
sin = 8/10
cos = 6/10
tan = 8/6
hope that helped. let me know if you have any questions:)
