Write the equation of the line that passes through the point (2, -1) and has a slope of -3

A. Y=3x+5
B. Y=-3x+5
C. Y=-3x - 5
D. Y=3x -5

y = 3/2x - 4

Step-by-step explanation:

y = mx + b

*plugging in slope*

y = 3/2x + b

*finding b (aka y-intercept, starting value, when x=0) by plugging in x and y values from point (2, -1) )*

-1 = 3/2 * 2 + b

-1 = 3 + b

b = -4

so: y = 3/2x - 4

Step-by-step explanation:

to find the y-intercept plug 8 and (2, -1) into

The answer is

Step-by-step explanation:

To find the equation of the line using a point and slope we use the formula

where m is the slope

(x1 ,y1) is the given point

From the question

slope = 3/2

point = ( 2 , - 1)

Substitute these values into the above formula

That's

We have the final answer as

Hope this helps you

Step-by-step explanation:

to find the y-intercept plug 8 and (2, -1) into

Given :-

A line having a slope of 3/2 passes through (2,-1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2

Point = (2,-1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

y - (-1) = 3/2 ( x - 2 )

y + 1 = 3/2x - 3/2*2

y +1 = 3/2x - 3

2( y +1) = 3/2x *2 - 3*2

2y + 2 = 3x - 6

3x -2y -8 = 0

Let's recall that , the equation of line that passes through the point and has a slope m is

Now using the same concept in our question , we have ;

Hence , Option B) Y = -3x + 5 is correct :D

The equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given

substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation

y = mx+b

-1 = -3(2)+b

-1 = -6 + b

b = -1 + 6

b = 5

Thus, the y-intercept form of the line equation is b = 5

now substituting b = 5 and m = -3 in the slope-intercept form of the line equation

y = mx+b

y = -3x + 5

Thus, the equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

y=-3x+5

Step-by-step explanation:

1. Put the equation into point-slope form: y-y1=m(x-x1)

Use the coordinates to put into y1 and x1 and use the slope to put into m. For y1 and x1, whenever there's a negative number in the provided coordinates, you'll need to change the subtraction sign into an addition sign because two negatives make a positive.

y+1=-3(x-2)

2. Distribute -3 to x-2 and subtract 1 from both sides.

y+1=-3x+6

y=-3x+5