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Degger [83]
2 years ago
6

The equation of line L is y=5x+1

Mathematics
1 answer:
vovikov84 [41]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

L₁ is y = 5x + 1 ← in slope- intercept form

with slope m = 5

L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - \frac{3}{2} ← in slope- intercept form

with slope m = 5

Since L₁ and L₂ have equal slopes then they are parallel lines

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Answer:5y=x-35

Step-by-step explanation:

The given line passes through the points (0,-7),(10,-5).

Let the slope of the line be m.

If a line passes through (x_{1},y_{1}) and (x_{2},y_{2}),then

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

So,m=\frac{-7-(-5)}{0-10}=\frac{1}{5}

Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.

Let the y intercept be b

From the graph,b=-7

The equation of the line with slope m and y-intercept b is y=mx+b

So,y=\frac{1}{5}x-7

5y=x-35

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-----

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