Through: (-2,1), slope = -1/2

Answer 1

Hi Marcela.

When we know the slope of a line and 1 point that the line passes through, we can use point-slope form to determine the equation of the line.

Point-slope form: y-y_=m(x-x_) where (x_,y_) are the coordinates of the point the line passes through, and m is the slope of the line.

Inserting our values we get y-1=-1/2(x-(-2))

Since subtracting a negative works like addition, we get y-1=-1/2(x+2)

Distribute the -1/2 y-1=-1/2x-1 this is point-slope form

Add the 1 to both sides y=-1/2x this is slope-intercept form

Hope this help!

Have a good night and stay safe.

michael.russell.10

Answer 2

Use point-slope form

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