laurenbrookec
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Write an equation in slope-intercept form for the line passing through the pair of points.
(-1, 2), (4, -3)

A) y = -x + 1
B) y = 0x - 1
C) y = -x - 1
D) y = 0x + 1

Respuesta :

gmany

Answer:

A) y= -x + 1

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

==========================================

We have the points (-1, 2) and (4, -3).

Calculate the slope:

[tex]m=\dfrac{-3-2}{4-(-1)}=\dfrac{-5}{5}=-1[/tex]

Put the value of the slope an the coordinates of the point 9-1, 2) to the equation of a line:

[tex]2=(-1)(-1)+b[/tex]

[tex]2=1+b[/tex]              subtract 1 from both sides

[tex]1=b\to b=1[/tex]

Finally:

[tex]y=-x+1[/tex]

coding2530

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Step-by-step explanation:

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