Question

A line has a slope of one and passes through the point (7,1) what is it’s equation in slope intercept form

Answer 1

y = x - 6

Step-by-step explanation:

The slope-intercept form of the equation of a line is generally given as;

`y=mx+b`

where m = the slope of the line

b = y-intercept of the line

Given the slope(m) as 1 and the point (7, 1) where x = 7 and y = 1, we'll substitute these values into our slope-intercept equation and solve for b as seen below;

`\begin{gathered} y=mx+b \\ m=1,x=7,\text{ and y = 1} \\ 1=(1)(7)+b \\ 1=7+b \\ b=1-7 \\ b=-6 \end{gathered}`

Since we have m = 1 and b = -6, the equation of the given line in slope-intercept form can now be written as;

`\begin{gathered} y=(1)x-6 \\ y=x-6 \end{gathered}`