Equation of a line with slope 1/5 through the point (-5, -4)

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Step-by-step explanation:

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  y +4 = (1/5)(x +5)

Step-by-step explanation:

The point-slope form of the equation of a line is useful when you have a given point and slope.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Filling in the given values, this is ...

  y +4 = 1/5(x +5)

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

the formula of a slope:

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

we have the points (-2, 7) and (2, 3). substitute:

[tex]m=\dfrac{3-7}{)}=\dfrac{-4}{2+2}=\dfrac{-4}{4}=-1[/tex]