We can use the point-slope form of a linear equation to find an equation of the line.
The point-slope form of a linear equation is:
y - y₁ = m(x - x₁)
Where:
m is the slope of the line, and
(x₁, y₁) is a point on the line.
In this case, the slope is 5 and the point is (5, 3).
So, substituting these values into the point-slope form, we get:
y - 3 = 5(x - 5)
Expanding the brackets:
y - 3 = 5x - 25
Adding 3 to both sides:
y = 5x - 22
Therefore, an equation of the line with a slope of 5 and passing through the point (5, 3) is y = 5x - 22.
Find an equation of the line having the given slope and containing the given point.
m = 5, (5,3)
1 answer