Question

Someone please help and choose correct answer

Answer 1

Answer:

The equation of line that passes through point (2,-1) and has a slope of -3 is $\mathbf{y=-3x+5}$

Option A is correct.

Step-by-step explanation:

We need to write equation of line that passes through point (2,-1) and has a slope of -3

The equation is written in slope-intercept form: $y=mx+b$ where m is slope and b is y-intercept.

We are given slope: m = -3

We need to find y-intercept (b)

Using the point (2,-1) and slope m=-3, we can find y-intercept

$y=mx+b\\-1=-3(2)+b\\-1=-6+b\\b=-1+6\\b=5$

So, we get y-intercept b = 5

Now, the required equation having slope m =-3 and y-intercept b = 5 will be:

$y=mx+b\\y=-3x+5$

So, the equation of line that passes through point (2,-1) and has a slope of -3 is $\mathbf{y=-3x+5}$

Option A is correct.