Answer:
y = 3x + 21
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
The equation of the line passes through (-5,6), slope=3 in point-slope form is y = 3x + 21.
The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.
A line's equation has the conventional form ax + by + c = 0.
Here, the variables are x and y, the coefficients are a and b, and the constant term is c.
Equation in point slope form:
The general equation in point slope form is given by
y - y1 = m(x - x1)
where,
(x1,y1) = (-5,6) are the coordinates on x and y axis.
and, m = 3 is the slope of the line.
Substitute the value in the equation,
y - 6 = 3(x - (-5)
y - 6 = 3(x + 5)
y = x + 21
Therefore, the equation in the point slope form the given coordinates is y = x + 21.
To know more about the coordinate system is Cartesian coordinate system, here
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