Answer:
Always
Step-by-step explanation:
The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.
<span>The formula for slope measures the steepness (or angle) of a line by measuring the rise (y) over the run (x). Slope = Rise/Run.</span>
Answer:
B,) all solutions that lie on f(x)
Step-by-step explanation:
The values of f(x) are the y-values on the graph
The range mostly has positive values but there are some negative y-value too (below the x-axis)
Answer:
I am a little late but here is the answer
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
Non-proportional linear relationships can be expressed in the form y = m x + b
With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .
Step-by-step explanation:
From Graph :
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
From Equation :
Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.
From Table:
With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .
Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = 
= 
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' =
= 
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = 
x = 
From equation (1),
y = 2x + 7
y = 
= 
= 
= 
Therefore, exact solution of the system of equations is 
.
Option (B) will be the answer.
