Respuesta :

wegnerkolmp2741o

Answer:

5x+ 4y =20

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

           = (0-5)/(4-0)

           = -5/4

We know the slope  = -5/4  and the y intercept (x=0)  y= 5

The euqation in slope intercept form is

y=mx+b whre m is the slope and b is the y intercept

y = -5/4 x +5

Multiply each side by 4 to get rid of the fraction

4y = 4*-5/4x + 5*4

4y = -5x+20

Add 5x to each side

5x+4y = 5x-5x+20

5x+ 4y =20

This is the standard form of a line

Ax + By =C

gmany

The standard form:

[tex]Ax+By=C[/tex]

The slope-intercept form:

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

m - slope

b - y-intercept → (0, b).

The formula of a slope

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

We have the points (4, 0) and (0, 5) → y-intercept → b = 5.

Calculate the slope:

[tex]m=\dfrac{5-0}{0-4}=\dfrac{5}{-4}=-\dfrac{5}{4}[/tex]

Therefore we have:

[tex]y=-\dfrac{5}{4}x+5[/tex]      multiply both sides by 4

[tex]4y=-5x+20[/tex]        add 5x to both sides

[tex]\boxed{5x+4y=20}[/tex]

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