2. What is the equation of a line parallel to y = -5x + 3 that passes through (3, 1)?

Equation of a line is y = mx + c

where

m = gradient

c = y intercept

y = -5x + 3

Comparing this equation with the above formula

m = - 5

Since the lines are parallel their gradients are also the same.

So gradient of the parallel line is also 5

That's m = -5

Equation of the parallel line using point

(3, 1) and gradient m = -5 is

y - 1 = -5(x - 3)

y - 1 = -5x + 15

y = -5x + 15 + 1

Final answer is

y = -5x + 16

Hope this helps.

Step-by-step explanation:

line parallel to given line has same slope i.e.,-5

eq. of line through (3,1) with slope -5 is

y-1=-5(x-3)

y-1=-5x+15

y=-5x+15+1

or y=-5x+16

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percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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