Complete the table representing a linear function.
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Answer:
(2,10) and (10,90)
Step-by-step explanation:
First: Find the slope
Formula for Finding Slope
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the values (1,0) and (5, 40) in the formula
[tex]\frac{40 - 0}{5 - 1}[/tex] = [tex]\frac{40}{4}[/tex]
= 10
Slope = 10
Second Step: Find the y-intercept
Slope-Intercept Form Formula: y = mx + b
mx is the slope and b is the y-intercept
0 = 10(1) + b
0 = 10 + b
b = -10
Third Step Plug in the values
x-value is 2
y = 10(2) - 10
y = 20 - 10
y = 10
y-value = 10
y-value is 90
90 = 10x - 10
90 + 10 = 10x - 10 + 10
10x = 100
x = 10