Write in slope intercept form:
(1,4) slope= -2

y = -2x + 6

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

So we are given a point, (1, 4), and a slope, -2, and we are asked to write the information into slope-intercept form. To write something directly into slope-intercept form, we need the y-intercept and the slope. Here, we are given a point, that is not the y-intercept, and a slope.

Instead of plugging for m and b in the equation for slope-intercept form, we can write the equation in point-slope form and then solve for slope-intercept form.

Point-slope form is:

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is a point.

Lets plug in (1, 4) for (x₁, y₁) and -2 for m.

y - 4 = -2(x - 1)

Now lets solve for slope-intercept form. Distribute the -2 on the right side.

y - 4 = -2x + 2

Add 4 to both sides.

y = -2x + 6

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.