Linear table of values
Asked by maham237 @ in Mathematics viewed by 304 People
A table of values of a linear function is shown below.
Find the slope and y-intercept of the function's graph, and find the equation for the function.
Asked by maham237 @ in Mathematics viewed by 304 People
A table of values of a linear function is shown below.
Find the slope and y-intercept of the function's graph, and find the equation for the function.
Answered by maham237 @
Given:
A table of values of a linear function.
To find:
The slope, y-intercept and equation of the function.
Solution:
Take any two points on the table.
Let the points are (-1, -3) and (0, -6).
Slope of the line:
m = -3
Slope of the function = -3
y-intercept of the function is the point where x = 0.
In the table y = -6 when x = 0
y-intercept = -6
Equation of a line:
y = mx + c
where m is the slope and c is the y-intercept
y = -3x + (-6)
y = -3x - 6
Equation of a function is y = -3x - 6.
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