The equation in slope-intercept form of the line passing through the given points is, y = (-1/2)x + 1
A table containing values of x and y is given:
<u>x y </u>
-2 2
0 1
2 0
4 -1
So the points on the line are:
(-2,2), (0,1), (2,0) and (4,-1)
The equation in slope-intercept form of a line is,
y = mx + c,
where m is the slope of the line and c, the y-intercept of the line.
So we need to find the slope and the y-intercept of the line from the given table values.
Let (x₁, y₁) = (-2,2) and (x₂, y₂) = (0,1).
Then slope of the line, m = (y₂-y₁)/(x₂-x₁)
= (1-2)/(0- -2)
= -1/2
The y-intercept of a line is the y-co-ordinate of the point which intersect the y-axis. I.e., it is the y-co-ordinate of the point at which x = 0.
From the table, when x = 0, y = 1.
Hence the y-intercept, c = 1.
So finally, the equation in slope-intercept form of the line is,
y = (-1/2)x + 1
The question is incomplete. Find the complete question below:
Find an equation in slope-intercept form of the line that passes through the given points.
<u>x y </u>
-2 2
0 1
2 0
4 -1
Learn more about slope-intercept form at brainly.com/question/1884491
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