Answer:
Step-by-step explanation:
<u>Given</u>
- x = {5, 6, 7, 8, 9} and
- y = {33, 39, 45, 51, 57}
<u>The equation in slope- intercept form:</u>
<u>Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:</u>
- m = (39 - 33)/(6 - 5) = 6/1 = 6
<u>Using one point (5, 33) to find the y-intercept:</u>
- 33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3
<u>The equation is:</u>
Correct option is B
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.
The answer is: " y − 1 = - 3(x + 2) " .
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Explanations:
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<u>Note</u>: The "point-slope form" of the equation of a line is:
→ " y − y₁ = m(x −x₁) " .
We are given the slope, m" , is: " - 3 " ;
We are given a point on the line [on the graph that is represented by this equation]; with the coordinates: " (-2 , 1) " ;
→ which is in the format: " (x₁ , y₁) " ;
→ As such: " x₁ = -2 " ; " y₁ = 1 " ;
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As aforementioned, the equation of a line in "point-slope form" ; is:
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→ " y − y₁ = m(x − x₁) " ;
in which:
→ "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ; AND:
→ " m " = the slope of the line [represented by the equation] " ;
We proceed by substituting our known values for "m" ; "y₁" ; and "x₁" :
→ " y − 1 = - 3(x − (-2) ) " ;
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→ Rewrite as:
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→ " y − 1 = - 3(x + 2) " ;
→ which is our answer; since it is written in "point-slope form" .
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Answer:
60ft
Step-by-step explanation:
