Answer:
y = 7x + 4
Step-by-step explanation:
From the table given in the picture attached,
Let the linear equation representing the table is,
y = mx + b
Here, m = Slope of the equation
b = Y-intercept
Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (20, 144) and (24, 172) will be,
m = [tex]\frac{172-144}{24-20}[/tex]
m = [tex]\frac{28}{4}[/tex]
m = 7
By substituting the value of m in the equation,
y = 7x + b
Since, this line passes through a point (20, 144),
By substituting the values of x = 20 and y = 144 in the equation,
144 = 7(20) + b
b = 144 - 140
b = 4
Therefore, equation of the line will be,
y = 7x + 4