Find the equation of the line with slope = 6 and passing through (-4,-22). Write your equation in the form y = mx + b.
Mathematics · College · Mon Jan 18 2021
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Given:
(-4,-22)
x1= -4
y1=-22
m = 6
Write the equation of the line in slope-intercept form.
y = mx + b
Solution:
Before we can write the equation of the line in slope-intercept form, we must first write the equation of the line in point-slope form.
Point-slope form:
y - y1 = m (x - x1)
Substitute the values of x1, y1 and m to the equation.
y - (-22) = 6(x - (-4))
y + 22 = 6(x + 4)
In order to change to slope-intercept form, we simply need to distribute the value of 6 to the parenthesis, and then transpose 22 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
y + 22 = 6x + 24
y = 6x + 24 - 22
y = 6x + 2
Final answer:
y = 6x + 2