Slope – Intercept Form: y = mx + b
m represents the slope
b represents the y-intercept
Writing equations using the Slope – Intercept Form
You need 2 things – m (slope) and b. Let’s try some examples.
Example 1: Write an equation in slope-intercept form of the line that has a slope of 3 and a y-intercept of 9.
So, m = 3 and b = 9. We plug into the slope-intercept form y = mx + b to get –
y = 3x + 9
Example 2: Write an equation in slope-intercept form of the line where m= ½ and a y-intercept of 3⁄2.
So, m = ½ and b = 3⁄2. We plug into the slope-intercept form y = mx + b to get –
y = ½x + 3⁄2
Example 3: Find the slope and y-intercept of y = 6x – 9. Using the slope-intercept form y = mx + b, we know that
slope m= 6 and y-intercept b = -9
Example 4: Find the slope and y-intercept of 2x + 3y = 15. Rewrite the equation into slope-intercept form y = mx + b –
So, slope m=-2⁄3 and y-intercept b = 5
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