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Sagot :
Answer:
Explanation:
The equation of a line in slope-intercept form is
[tex]y=mx+b[/tex]where m is the slope and b is the y-intercept.
Now we know that the slope is -5; therefore m = -5 and our equation becomes
[tex]y=-5x+b[/tex]Now we only need to find the y-intercept b of the line, and to do this we use the point (2, -13). Putting in x = 2 and y = -13 in the above equation gives
[tex]-13=-5(2)+b[/tex][tex]-13=-10+b[/tex]Adding 10 to both sides gives
[tex]-13+10=b[/tex][tex]b=-3[/tex]With the value of b in hand, we now write the equation in slope-intercept form
[tex]y=-5x-3[/tex]which is our answer!
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