The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9
Equation of the line:
The standard form of the equation of the line is written as
y = mx + b
here
x and y represents the coordinates of the equation
m refers the slope of the equation
b refers the y intercept of the equation
Given,
Here we have the points (7, -2) and (11, 5).
Now we have to find the equation that passes through this points.
If you want to find the equation of the line, we have to find the slope and the intercept of the line.
The slope of the line is calculated by using the given point (7, -2) and (11, 5),
=> m = (11 - 7) / ( 5 - (-2))
=> m = 4/7
Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,
=> 5 = (4/7) (11) + b
=> 35 = 44 + b
=> b = -9
Therefore, the equation that passes through the points is y = 4/7x - 9
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