Respuesta :

subtomex0

Answer:

[tex]y = - \frac{9}{8} x + 7[/tex]

Step-by-step explanation:

[tex]m = \frac{ - 2 - 7}{8 - 0} = \frac{ - 9}{8} [/tex]

Since this line passes through (0,7), then this point satisfies the equation of the line;

[tex]y = \frac{ - 9}{8} x + b[/tex]

[tex]7 = \frac{ - 9}{8} (0) + b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Hey there!

We are given 2 points that the line passes through, so we can easily determine the slope of the line:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-2-7}{8-0}=\frac{-9}{8} }[/tex]

So now we have the slope.

However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)

Hence, the equation is

[tex]\boxed{\boxed{\bold{y=-\frac{9}{8} x+7}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if you do, please comment.

#LearningDoesn'tEnd

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