Question

What is the equation of the line that passes through the point (-2,-1) and has a slope of 1/2?​ ?

Answer 1

Hello!

Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.

First, point-slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-(-2) (Point-Slope Form)

Now, convert into Slope-Intercept form:

y+1=1/2(x+2)

y+1=1/2x+1

y=1/2x+1-1

y=1/2x

Hence, the equation of the line is

`\boxed{\boxed{\bold{y=(1)/(2)}} }` (Slope-Intercept Form)

Hope everything is clear.

Let me know if you have any questions!

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:-)

Answer 2

equation of line will be

y+1=1/2(x+2)