Slope-Intercept Form

Slope-Intercept Form

Slope-intercept form is written as follows:

y = mx + b

'm' is the slope

'b' is the y-intercept

Problem #1
Write an equation in slope-intercept form for a line whose slope is 5 and whose y-intercept is 7.

Step 1
Remember that slope-intercept form is written: y = mx + b

Step 2
Plug-in the given slope (5) and y-intercept (7):

Answer: y = 5x + 7

Problem #2
Identify the slope and y-intercept of the following equation: y = -x + 3

Step 1
Determine the slope:
Although there is no number in the 'm' portion of the equation, since it is '-x' the slope is -1

Step 2
Determine the y-intercept:
In this equation the y-intercept is 3

Answer: Slope = -1; y-intercept = 3

You may find the following video helpful:
https://www.youtube.com/watch?v=u3spOO-m_Gg