The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains poi
2 answers:
Answer:
The equation of required line is y=2x+2.
Step-by-step explanation:
The slope intercept form of a line is
.... (1)
Where, m is slope and b is y-intercept.
The equation of given line EF is
.... (2)
From (1) and (2), we get
The slope of the line is 2 and y-intercept is 1.
The slope of parallel lines are same. So, the slope of required line is 2.
The line passes through the point (0,2). It means the y-intercept of the line is 2.
Substitute m=2 and b=2 in equation (1), to find the equation of required line.
Therefore the equation of required line is y=2x+2.
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Answer:
Gina is 12 years old
Step-by-step explanation:
First, we will have to write these statements mathematically and then solve.
Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.
The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)
The next statement "Gina's brother is half Gina's age" can be mathematically written as y = ---------------------------------------(2)
Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)
We can now proceed to solve;
Substitute equation (1) and equation(2) into equation (3)
x + y + z = 42
x + + 2x = 42
Multiply through by 2
2x + x + 4x = 84
7x = 84
Divide both-side of the equation by 7
=
x = 12
Therefore, Gina is 12 years old