Question

Find the equation of the line with slope m=1 that contains the point (1,2). Somy, that's incorrect. Try again? y=

Answer 1

y - 2 = x - 1 (point-slope form)

y = x + 1 (slope-intercept form)

-x + y = 1

x - y = -1 (standard form)

Answer 2

Answer: y = x + 1

Explanation:

When we're given a line's slope and a point intersected by the line, we plug that info into the point-slope formula.

The formula is:
`y-y_1=m(x-x_1)`, where
`(x_1,y_1)` is a point on the line and m is the slope.

For this problem, we have:

• slope : 1
• point : (1,2)

So, we plug in our values into the point-slope formula.

`\bullet\quad\rm{y-2=1(x-1)}`

This is optional, but you can simplify all the way to slope-intercept form.

`\bullet\qquad\rm{y-2=x-1}`

`\bullet\qquad\rm{y=x-1+2}`

`\bullet\qquad\rm{y=x+1}`