``slope 3, passes through (0, -6)`` Write an equation in slope-intercept form for the line that satisfies each set of conditions.

Textbook Question

Chapter 2, 2.4 - Problem 23 - Glencoe Algebra 2 (1st Edition, McGraw-Hill Education).
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elthon1978's profile pic

elthon1978 | High School Teacher | (Level 1) Adjunct Educator

Posted on

We can do this in one shot by using the point slope form instead, y-y1=m (x-x1) and simply solve for y.

The slope, m, is 3

The (x1,y1) is (0,-6)

 y-y1=m (x-x1)

y-(-6)=3 (x-0)

y+6=3×-0

y+6=3x

y=3x-6

kspcr111's profile picture

kspcr111 | In Training Educator

Posted on

Given slope m= 3

and the line passes through the point (x,y)= (0, -6)

the slope-intercept form of a line is

y= mx+b

from the above we know m = 3, so the line equation is 

y= 3x+b--------------(1)

we need to find the value of b , as the line passes through the point

(x,y)= (0, -6 ) , then on substituting we get

-6 =0+b

=> b = -6

so the equation of the line is

y = 3x - 6

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