2 of 13 cc.8 write a linear function from a table uy\nquestion\nwrite the linear equation that gives the…

2 of 13 cc.8 write a linear function from a table uy\nquestion\nwrite the linear equation that gives the rule for this table.\n| x | y |\n| 5 | 1 |\n| 6 | 2 |\n| 7 | 3 |\n| 8 | 4 |\nwrite your answer as an equation with y first, followed by an equals sign.\ncorrect answer\ny = x - 4\nkennic silva paula answered\ny=1x

2 of 13 cc.8 write a linear function from a table uy\nquestion\nwrite the linear equation that gives the rule for this table.\n| x | y |\n| 5 | 1 |\n| 6 | 2 |\n| 7 | 3 |\n| 8 | 4 |\nwrite your answer as an equation with y first, followed by an equals sign.\ncorrect answer\ny = x - 4\nkennic silva paula answered\ny=1x

Answer

Explanation:

Step1: Find the slope (m)

The slope ( m ) of a line passing through two points ((x_1, y_1)) and ((x_2, y_2)) is given by ( m=\frac{y_2 - y_1}{x_2 - x_1} ). Let's take the points ((5, 1)) and ((6, 2)). Then ( m=\frac{2 - 1}{6 - 5}=\frac{1}{1} = 1 ).

Step2: Use point - slope form to find the equation

The point - slope form of a line is ( y - y_1=m(x - x_1) ). We know ( m = 1 ) and we can use the point ((5,1)). Substituting into the formula: ( y - 1=1\times(x - 5) ). Simplify the equation: ( y-1=x - 5 ). Add 1 to both sides of the equation: ( y=x - 5 + 1 ), so ( y=x - 4 ).

Answer:

( y=x - 4 )