What is the equation of the line that is parallel to y = 1/5 x + 4 and that passes through (5,–4)?
1 answer:
Answer:
y = x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 4 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (5, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = x - 5 ← equation of parallel line
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Answer:
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Step-by-step explanation:
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The fourth coordinate of rectangular piece of material is (2.8 , -2.7)
According to the question,
Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (-1.4, -2.7), (-1.4,3.7), and (2.8,3.7).
As we know , the opposite sides of rectangle are equal
If we locate these coordinates in our graph and join them
Length of rectangle will be = 2.8+1.4 = 4.2cm
Breadth of rectangle will be = 3.7 + 2.7 = 6.4cm
So, the fourth coordinate should lie 6.4cm far from (2.8,3.7)
Subtracting 6.4 from y-axis,
Fourth coordinate = 3.7 - 6.4
= -2.7
Therefore , The fourth side of rectangle = (2.8 , -2.7)
To know more about Rectangle here
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