Respuesta :

Answer:

Slope intercept form (y = mx + b) = [tex]y = \frac{2}{3} x + \frac{7}{3}[/tex]

X intercept (slope): [tex](-\frac{7}{2} , 0)[/tex]

Y Intercept: [tex](0, \frac{7}{3} )[/tex]

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y and solve for  x.

To find the y-intercept, substitute in  0  for  x and solve for  y.

Hope this helps! :D

towl35

Step-by-step explanation:

solve for y

[tex]3y - 7 = 2x[/tex]

isolate the y variable to one side

let's first add 7 to both sides of the equation

[tex]3y - 7 + 7 = 2x + 7[/tex]

sevens on the left side of the equation cancel so we get

[tex]3y = 2x + 7[/tex]

Now let's divide everything in the equation by 3 to further isolate the y variable

[tex] \frac{3y}{3} = \frac{2x}{3} + \frac{7}{3} [/tex]

The threes on the left hand side of the equation cancel

[tex] y = \frac{2}{3}x + \frac{7}{3} [/tex]

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