Question

Write a function for the line with a slope of 5 that passes through the point (2, 1). Enter the correct equation in the box.

Answer 1

The equation of the line with a slope of 5 that passes through the point (2, 1) is y = 5x - 9.

Step-by-step explanation:

The student is asking for the equation of a line with a given slope that passes through a specific point. To write the equation of the line, we will use the point-slope form and the slope-intercept form of a linear equation.

Given a slope (m) of 5 and a point (2, 1), we can start by using the point-slope form of the equation:

y - y1 = m(x - x1)

Plugging in our given values, we get:

y - 1 = 5(x - 2)

Expanding and simplifying this equation, we find the slope-intercept form, which is y = mx + b:

y = 5x - 9