Write an equation in slope-intercept form for the line that has a slope of -4 and passes through (1,2)

Choices: y= -2x+4
y= -4x+6
y= -4x+9

how do yu graph linear equations

Write the equation in slope-intercept form

given: Slope = 4 Point (-2, 1)

Well, let's see if we can solve this problem with a touch of humor!

To start, we have the given slope of -4, so we can already eliminate the first option, "y = -2x + 4." That slope just doesn't get along with our problem!

Now consider the point (1,2) that the line passes through. If we plug in the x-coordinate, which is 1, and the y-coordinate, which is 2, into the equation, we can find the correct option. Let the comedic equation solving begin!

For the second option, "y = -4x + 6," we get 2 = -4(1) + 6. Simplifying, that becomes 2 = -4 + 6, and further simplifying gives us 2 = 2. Oops! It doesn't look like our coordinates fit the equation.

Lastly, let's give the third option, "y = -4x + 9," a chance! Plugging in the x-coordinate and the y-coordinate into the equation gives us 2 = -4(1) + 9. Simplifying that, we get 2 = -4 + 9, which simplifies to 2 = 5. Alas, this option doesn't quite make the cut either.

So, after a series of comedic equation-solving attempts, we find that none of the given options align with the slope and point given. Keep looking, dear friend, for the equation that fits the bill!

To write the equation of a line in slope-intercept form ( y = mx + b), we need to know the slope (m) and one point that the line passes through (x, y).

In this case, we are given that the slope (m) is -4 and the line passes through the point (1, 2).

To find the equation, we substitute the given values into the slope-intercept form:

y = mx + b

y = -4x + b (since the slope (m) is -4)

Now, we can use the coordinates of the given point (1, 2) to find the value of b.

2 = -4(1) + b

2 = -4 + b

To isolate b, we rearrange the equation:

b = 2 + 4

b = 6

Therefore, the equation of the line in slope-intercept form is:

y = -4x + 6

So, the correct choice is:

y = -4x + 6

Slope-intercept form y=mx +c where m is the slope.

You are told that the slope is -4, so the equation muct be like

y = -4x + c

That rules out one of your choices.

Now, of the other two, the equation must be true for the point (1,2).

So which of these is true?
2 = -4 * 1 + 6
2 = -4 * 1 + 9
and then you have your answer!