$2^4785733858979-|&duts7stpzo64suprxxruxpu5dp7d058d805d0y7f
Answer:
<h3>perpendicular line:
y = -¹/₆
x + 4¹/₃
</h3><h3> parallel line:
y = 6x - 45
</h3>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = 6x - 7 ⇒ m₁=6
6×m₂ = -1 ⇒ m₂ = -¹/₆
The line y=-¹/₆
x+b passes through point (8, 3) so the equation:
3 = -¹/₆
×8 + b must be true
3 = -⁴/₃ + b
b = 4¹/₃
Therefore equation in slope-intercept form:
y = -¹/₆
x + 4¹/₃
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6
The line y=6x+b passes through point (8, 3) so the equation:
3 = 6×8 + b must be true
3 = 48 + b
b = -45
Therefore equation in slope-intercept form:
y = 6x - 45
Answer:
0
Step-by-step explanation:
12.5/3.79 = 3.2981530343
3.2981530343 rounded = 3.3
1/3 = 3.33333333333333
3.33333333333333 rounded = 3.3
3.3 - 3.3 = 0
1) Coordinates of A: (-1,5) Coordinates of C: (6,-9)
2) Coordinates of A: (-1,-14) Coordinates of M: (6,7)
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Step-by-step explanation:
Given equation of line is:
The coefficient of x is the slope of the line so the slope of given line is: -0.75
As parallel lines have equal slopes so the required equation of line will have the same slope.
The slope-intercept form is:
Putting the value of the slope
To find the value of b, putting the point in the equation
Putting the values of m and b, we get
Hence,
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Keywords: Equation of line, Slope-intercept form
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