Question

Write an equation in point-slope form of the line that passes through the point (2, 1)

and has a slope of m=2

Answer 1

Answer: y-1=2x(x-2)

Step-by-step explanation: The equation for point-slope form is y-y1=mx(x-x1) All you have to do is plug in your values in which X1 is 2, Y1 is 1, and the slope (m) is 2

Answer 2

`y - 1 = 2(x - 2)`

Explanation:

The point-slope form of a linear equation is given by:

`\boxed{y - y_1 = m(x - x_1)}`

where:

• (x₁, y₁) is a point on the line.
• m is the slope of the line.

To write an equation in point-slope form of the line that passes through the point (2, 1) and has a slope of m = 2, simply substitute these values into the formula:

`y - 1 = 2(x - 2)`

Therefore, the point-slope form of the line that passes through the point (2, 1) and has a slope of 2 is:

`\Large\boxed{\boxed{y - 1 = 2(x - 2)}}`