Check the picture below
notice, the run is half 35
recall slope = rise/run
notice, the run is half 35
recall slope = rise/run
Solve the system by elimination 2 + 5 = −24 3 − 5 = 14
1 answer:
You might be interested in
Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2 )
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
function : y = (-x) - 6
<u>Find x-intercept</u> :
- (-x) - 6 = 0
- (-x) = 6
- x = -6
<u>Find y-intercept</u> :
- y = (-0) - 6
- y = -6
mark these two points on both the axis and draw a straight linear graph.
passes coordinates : (0, -6), (-6, 0)
