Question

Write an equation of the line in slope-intercept form.

Y = 2
Point: (2, 2)
Slope: (-2)

a) (y = 2x + 2)
b) (y = -2x + 2)
c) (y = 2x - 2)
d) (y = -2x - 2)

Answer 1

When given a slope of -2 and a point (2, 2), we use the slope-intercept form (y = mx + b) to find the y-intercept and then derive the linear equation. After calculation, the equation would be y = -2x + 6. However, this does not match the given options, indicating a possible error in the question or options.

Step-by-step explanation:

To write an equation of the line in slope-intercept form, we use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, we are given the slope m = -2 and a point on the line (2, 2). We plug these values into the slope-intercept form and solve for b.

Starting with the slope-intercept form:

y = mx + b

Plug in the slope m and the coordinates of the point (x, y):

2 = (-2)(2) + b

Now calculate the y-intercept b:

2 = -4 + b

b = 2 + 4

b = 6

Now, we can write the equation:

y = -2x + 6