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Anettt [7]
3 years ago
5

Write an equation of the line in slope-intercept form that passes through the given point and is parralel to the given line (-1,

3) y=2x+2
Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer:

y = 2x + 5

Step-by-step explanation:

y = mx + b    :    Slope Intercept Form

Our m (slope) does not change, but our b (y-intercept) does.


Step 1: Plug in all numbers except b

y = 2x + b

3 = 2(-1) + b

Solve

5 = b


Step 2: Add slope and intercept into equation

y = 2x + 5

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QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

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SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y =  \frac{2}{3} x +  \frac{36}{3}  \\ y =  \frac{2}{3} x +  \frac{ \cancel{36}^{ \:  \: 12} }{ \cancel3}  \\ y =  \frac{2}{3} x +  12 \\

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m =  \frac{2}{3}  \\ y - intercept = 12 \: ans

slope =  \frac{y2 - y1}{x2 - x1}  \\  \frac{2}{3}  =  \frac{0  - 12}{x  - 0}  \\ 2x = ( - 12) \times 3 \\ x =  \frac{ -  \cancel{12}^{ \:  \: 6} \times 3 }{ \cancel{2}} \\  x =  - 18 \:  \: ans

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