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Which of the following equations represent the line that has slope -3 and goes through the point (2, 5)?

2 Answers

4 votes
the equation is y=-3x+11



5 = 2 * ( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ 11 = b


so the equation is

y = - 3x + 11
good luck
User Prashant Agarwal
by
7.4k points
3 votes
Answer:
y = -3x + 11

Step-by-step explanation:
The general form of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept

We are given that the slope is -3. This means that the equation became:
y = -3x + c

To get the value of c, we will substitute with the given point (2,5) in the equation and solve for c as follows:
y = -3x + c
5 = -3(2) + c
5 = -6 + c
c = 11

Therefore, the equation of the line is:
y = -3x + 11

Hope this helps :)
User Jumaane
by
7.4k points