2 a Write the equation of the line with slope 4 and yinterce

2.

a. Write the equation of the line with slope –4 and y-intercept (0, –9).

b. Write the equation of the line with slope - 1/2 and y-intercept (0, 3).

Solution

2.

a. Write the equation of the line with slope –4 and y-intercept (x₁,y₁)=(0, –9).

equation of line in point slope form is y-y₁=m*(x-x₁)

y-(-9)=-4*(x-0)

y+9=-4x

y=-4x-9

b. Write the equation of the line with slope - 1/2 and y-intercept (x₁,y₁)=(0, 3).

equation of line in point slope form is y-y₁=m*(x-x₁)

y-3=(-1/2)*(x-0)

y=-(1/2)x +3