Answer:
y = -2x + 6
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.