Answer:
y = 235x + 15
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are given 3 points and we must provide the equation of the line that passes through them all in slope-intercept form.
Selecting the points (4,955) and (7,1660) we can calculate the slope of the line by using the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{1660-955}{7-4}=\frac{705}{3}=235[/tex]
Now we use the point-slope equation with the first point (4,955):
y - 955 = 235 ( x - 4 )
Operating:
y - 955 = 235x - 940
y = 235x - 940 + 955
y = 235x + 15
The third point (10,2365) should pass through this line. To verify, substitute:
2365 = 235(10) + 15 = 2350 + 15= 2365
Since the identity is true, the equation is correct:
Answer:
y = 235x + 15
