Find an equation of the line having the specific slope and containing the indicated point. Write your final answer in slope-intercept form. M=2,(1,-4)

Question

The answer is y=2x-6, but for the life of me, I don't know how they got that answer.

Answer 1

the basic equation of a line is y = mx + b, where m is the slope and b is the y-intercept

replace m in the equation with 2 since that is the slope given

so, we have y = 2x + b

since (1,-4) is contained on the line, we can substitute this for x and y in the equation and solve for b

y = 2x + b

-4 = 2(1) + b

-4 = 2 + b

-6 = b

plug b into the equation

y = 2x + b

y = 2x - 6

Answer 2

Hi Rylee ,

We are given a slope ,m = 2 and a point (1,-4). We want to write this in slope intercept form which is

y = mx + b.

We have y = 2x + b ( since the slope is 2 ) so all we have left to find is the y intercept (which is b). Since we have a point (1,-4) let’s plug in the values and see what we get for b.

Plugging in the values of x = 1 and y = -4 gives

-4 = 2(1) + b => b = -6

Since we now know b = -6 and m = 2 we can write the equation of our line which is y = 2x - 6

Answer 3

Slope intercept form is "y=mx+b"

We are given that the slope is 2 and there is a point (1,-4) on the line.

M is the slope so let's substitute it.

Current equation is "y=2x+b"

To find the y intercept, we constitute y and x in "y=2x+b" with the y and x coordinate of the point on the line.

So our current equation is "-4=2(1)+b

b is the y intercept, let's solve the equation to find the y intercept.

-4=2+b

-4-2=2-2+b

-6=b

We have the slope and we found the y intercept of the line, so the equation is "y=2x-6"