The equation for the line in point-slope form that passes through (15, 5) and is perpendicular to
is 
<em><u>Recall:</u></em>
The equation of the line can be written in point-slope form (y - b = m(x - a)) and also in slope-intercept form (y = mx + b).
<em><u>Given</u></em>:
- the point the line passes through: (15, 5)
- the line it is perpendicular to: y = -5x - 4
<u><em>Find the </em></u><u><em>slope (m):</em></u>
The slope value will be the negative reciprocal of the slope value of y = -5x - 4.
- The slope of y = -5x - 4 is -5.
- Therefore, the slope of the line perpendicular to y = -5x - 4 will be the negative reciprocal of -5 which is: 1/2.
<em>Write the </em><em>equation </em><em>in </em><em>point-slope</em><em> form by substituting m = 1/2 and (a, b) = (15, 5) into </em><em>y - b = m(x - a)</em>
<em />

Therefore, the equation for the line that passes through (15, 5) and is perpendicular to
is 
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brainly.com/question/11624671
Answer:
AED 3400
Step-by-step explanation:
The perimeter of the rectangular orchard is twice the sum of length and width, so is ...
P = 2(L+W) = 2(39 m +46 m) = 170 m
At a cost of 20/m, the cost of fence is ...
cost = (AED 20/m)·(170 m) = AED 3400
Answer:
y - 5 = 1/4 (x - (-1))
Step-by-step explanation:
Since we have a parallelogram, then WX and YZ must be parallel
mathematically, the general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
if two lines are parallel, the value of their slopes is same
for the first line, we have;
y = 1/4x - 6
The slope of the first line is 1/4
this is the slope of the second line too
By using;
y-y1 = m(x-x1)
where (x1,y1) is the point on the line
we have;
y - 5 = 1/4 (x - (-1))
Answer:
The lines are parallel
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Remember that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
step 1
Find the slope JK
we have

substitute the values
step 2
Find the slope LM
we have

substitute the values
step 3
Compare the slopes
so
therefore
The lines are parallel
Answer:

Step-by-step explanation:
we know that
The recipe calls for 1 2/3 of sugar
To make 2 1/2 times the recipe
Multiply 2 1/2 by 1 2/3
Convert mixed numbers to an improper fraction


so

Convert to mixed number
