Equation of a linear function is defined by equation y = mx + b,
where m = slope of the line and b = y-intercept
Linear model representing a function for the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Let the linear equation representing the earnings to photograph the houses,
y = mx + b
If we graph a line with two variables, earnings from photography on y-axis and the number of houses at x-axis,
Slope of the line 'm' = [tex]\frac{\triangle y}{\triangle x}[/tex]
If two points lying on the line are (2, 315) and (7, 1015).
Slope of the line 'm' = [tex]\frac{1015-315}{7-2}[/tex]
= [tex]\frac{700}{5}[/tex]
= 140
Therefore, equation of the line will be,
y = 140x + b
Since, (2, 315) lies on the line,
315 = 140(2) + b
315 = 280 + b
b = 35
Now the equation will be,
y = 140x + 35
Therefore, linear model representing a function of the earning (y) to photograph the houses (x) will be,
y = 140x + 35
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