Respuesta :

Answer:

facts

Step-by-step explanation:

Answer:

[tex]y= 9/4x+5[/tex]

Step-by-step explanation:

I'll go over #7 and you should be able to do the rest.

Slope intercept form general equation is:

y = mx + b

I bolded the value you need to change/find.

m is the slope

b is the y-intercept

You can calculate m using:

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

you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4

[tex]m=\frac{5-(-4)}{0-(-4)}=9/4[/tex]

Plug your value into the point-slope formula.

[tex]y = m(x-x_1)+y_1[/tex]

[tex]y = (9/4)(x-(-4))+(-4)[/tex]   simplify it

[tex]y= 9/4x+5[/tex]  the simplified form is the slope-intercept formula

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