Solve the system of equations.
9y + 4x – 11 = 0
3y + 10x + 31 = 0
х
=
-
y=
Answers
9y + 4x – 11 = 0
3 result(s) found
Slope=−
2.000
0.889
=−0.444
x−intercept=
4
11
=2.75000
y−intercept=
9
11
=1.22222
See steps
Step by Step Solution:
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STEP
1
:
Equation of a Straight Line
1.1 Solve 9y+4x-11 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 9y+4x-11 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 11/9 so this line "cuts" the y axis at y= 1.22222
y-intercept = 11/9 = 1.22222
Calculate the X-Intercept :
When y = 0 the value of x is 11/4 Our line therefore "cuts" the x axis at x= 2.75000
x-intercept = 11/4 = 2.75000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.222 and for x=2.000, the value of y is 0.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.333 - 1.222 = -0.889 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.889/2.000 = -0.444
Geometric figure: Straight Line
Slope = -0.889/2.000 = -0.444
x-intercept = 11/4 = 2.75000
y-intercept = 11/9 = 1.22222
3 result(s) found
Slope=−
2.000
6.667
=−3.333
x−intercept=−
10
31
=−3.10000
y−intercept=−
3
31
=−10.33333
See steps
Step by Step Solution:
More Icon
STEP
1
:
Equation of a Straight Line
1.1 Solve 3y+10x+31 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y+10x+31 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -31/3 so this line "cuts" the y axis at y=-10.33333
y-intercept = -31/3 = -10.33333
Calculate the X-Intercept :
When y = 0 the value of x is -31/10 Our line therefore "cuts" the x axis at x=-3.10000
x-intercept = -31/10 = -3.10000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.333 and for x=2.000, the value of y is -17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -17.000 - (-10.333) = -6.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -6.667/2.000 = -3.333
Geometric figure: Straight Line
Slope = -6.667/2.000 = -3.333
x-intercept = -31/10 = -3.10000
y-intercept = -31/3 = -10.33333
Answer:
44yx is the answer of second sum