Need hel algebra please
1 answer:
The required equation of the linear function represented in the table using slope-intercept form is y = 5x + 5.
What is slope-intercept form?
The slope-intercept form is a method used to determine the equation of a straight line in the coordinate plane.
For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.
According to the given question:
Let y = mx + b be the required equation
Finding slope 'm' using m =
Taking (x, y) = (1, 10) and (x', y')= (5, 30)
∴ m = = 20/4 = 5
Hence slope m = 5
Substituting (1, 10) in the deduced equation y = 5x + b to find y-intercept 'b'.
10 = 5(1) + b ⇒ b = 5
So, the value of y-intercept 'b' is 5
Therefore, required linear equation using slope-intercept form is
y = 5x + 5
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