Question

What is the equation of the line that passes through the point (6, -1) and has a slope of 1?

Answer 1

Answer:

y= x -7

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.

Given that the slope is 1, m= 1.

Substitute the value of m into the equation:

y= 1x +c

y= x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= -1,

-1= 6 +c

c= -1 -6 (-6 on both sides)

c= -7

Thus, the equation of the line is y= x -7.

Answer 2

Answer:

y = x – 7

Step-by-step explanation: