The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –y minus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 8 right-parenthesis.x + 6. What is the point-slope form of the equation for this line?

Respuesta :

Answer:

[tex]y - 8 = - \frac{2}{3} (x + 3)[/tex]

Step-by-step explanation:

Even though the question is not well formatted we can still deduce that the slope is

[tex]m = - \frac{2}{3} [/tex]

It was also given in the question that the line passes through (-3,8).

The point-slope form is given by

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

We substitute the following values:

[tex]x_1=-3, y_1=8, and \: m = - \frac{2}{3} [/tex]

into the above formula to get:

[tex]y - 8 = - \frac{ 2}{3} (x - - 3)[/tex]

Hence the point-slope form is:

[tex]y - 8 = - \frac{2}{3} (x + 3)[/tex]

Answer: d

Step-by-step explanation:

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