Question

Write the equation in slope-intercept form for the line passing through（2、3）with slope 1

Answer 1

Let m = slope

Use the point-slope formula.

y - y1 = m(x - x1)

Let y1 = 3

Let x1 = 2

y - 3 = 1(x - 2)

Solve for y.

y - 3 = x - 2

y = x - 2 + 3

y = x + 1

Done!

Answer 2

"slope-intercept form" is y = mx + b.

We have a point on this line and we also have the slope of the line.  Thus:

3 = 1(2) + b, so b =1 and the equation is y = x + 1.