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Find the slope and the y-intercept of the line.
7x - 4y= -8
Write your answers in simplest form.
Undefined
slope:
?
y-tercept:

Find the slope and the yintercept of the line 7x 4y 8 Write your answers in simplest form Undefined slope ytercept class=

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DᴀʀᴋPᴀʀᴀᴅᴏx

Let's transform the equation into slope intercept form first ~

that is ~

  • [tex]7x - 4y = - 8[/tex]

  • [tex] - 4y = - 8 - 7x[/tex]

  • [tex]y = \dfrac{ - (7x + 8)}{ - 4} [/tex]

  • [tex]y = \dfrac{7x}{4} + \dfrac{8}{4} [/tex]

  • [tex]y = \dfrac{7}{4} x + 2[/tex]

now, equate the equation with general equation of line in slope intercept form (that is : y = mx + c) where, m = slope of the line and c = its y - intercept.

So, we get the value of m (slope) as ~

  • [tex] \dfrac{7}{4} [/tex]

where as the value of c (y - intercept) is ~

  • [tex]2[/tex]

I hope it helps ~

7/4 is the slope… 2 is the y-intercep
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