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A line goes through the points (4,5) and (2,-6) write the equation in slope intercept form

please give me the right answer I need it I don't understand how to do slope intercept form ​

Sagot :

Answer:

The equation would be [tex]m=\frac{-6-5}{2-4}[/tex] and the answer is [tex]\frac{11}{2}[/tex].

Step-by-step explanation:

You need to use the formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]

You're points are (4,5) and (2,-6) or (4,5)(2,-6).

First: You need to label each point.

In (4,5), 4 is [tex]x1[/tex] and 5 is [tex]x2[/tex].

In (2,-6), 2 is [tex]y1[/tex] and -6 is [tex]y2[/tex].

Then you need to fill in the formula: [tex]m=\frac{-6-5}{2-4}[/tex]

Next, you subtract: [tex]-6-5=-11[/tex] and [tex]2-4 =-4[/tex].

You get the fraction: [tex]\frac{-11}{-4}[/tex]

Simplify if needed: [tex]\frac{-11}{-4}[/tex] can't be simplified.

Finally, you get your answer: [tex]\frac{11}{2}[/tex] because two negatives make a positive.

Hope this helps.

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