The equation of the given line passes through the point (2,9) y = 4x + 1.
<h3>What exactly is the slope of a line?</h3>
The slope of a line indicates its steepness. The slope is determined mathematically as "increase over run" (change in y divided by change in x).
<h3>A line equation is defined as:</h3>
The conventional form of a line equation is ax + by + c = 0. Here, the coefficients are a and b, the variables are x and y, and the constant term is c. It is a one-degree equation with variables x and y. The coordinates of both the point on the line that appears in the coordinate plane are represented by the values of x and y.
<h3>According to the given data:</h3>
m = 4
equation of the line = y = mx + c
substituting the value of m = 4
y = 4x + c
the point (2,9):
putting the points in the line of the equation:
x = 2
y = 9
So,
y = mx + c
9 = 4 * 2 + c
9 = 8 + c
c = 1
The equation of the given line y = 4x + 1.
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