Write an equation in point-slope form for the line through the given point with the given slope: Point = (3, 2), Slope = 4.

Solution:

We will use the concept of point-slope form of the straight line to write the equation.

Let us consider a point (a, b) in the cartesian plane and the slope of the line be m.

Hence, according to the point-slope form of a straight line, the equation of the line is y = m (x - a) + b

y = m (x - a) + b is the equation of the straight line with some given point (a, b) and slope m.

Now for the above question that is we have to write an equation for the line passing through the point (3, 2) and having a slope of 4.

Here, a = 3, b = 2 and m = 4.

On comparing the values with the equation y = m (x - a) + b our required equation will be y = 4 (x - 3) + 2

Hence, the equation of line will be y = 4x - 10.

Write an equation in point-slope form for the line through the given point with the given slope: Point = (3, 2), Slope = 4.

Summary:

The equation of line will be y = 4x - 10.