What is the slope-intercept equation for the following line?

Mathematics

2 answers:

babymother [125]2 years ago

3 0

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

jok3333 [9.3K]2 years ago

3 0

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

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

y = -x + 1

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