Which is an equation of the line with slope –3 and passes through (2, –1)?
a)
y = 5x – 3
b)
–3x + y = 5
c)
y = –3(x + 5)
d)
3x + y = 5

d)  3x + y = 5

Step-by-step explanation:

The standard equation of a line with slope and a point is given by:

y = mx + b

We know that

m=-3

Putting the value of slope

y = -3x+b

To find the value of b, we will put the point in the equation

-1 = (-3)(2)+b

-1 = -6 + b

-1+6 = b

b = 5

Putting the values of b and m in standard equation

y = -3x+5

Can also be written as:

3x+y = 5

Hence,

Option d: 3x + y = 5 is the correct answer ..

Option d.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case we know that the slope of the line is:

Knowing that it passes through the point (2, -1), we can substitute the coordinates into   and solve for "b":

Therefore, the equation of this line in Slope-Intercept form is:

Written in Standard form, this is:

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