Question

Write the slope-intercept form of the equation of the line described.

through: (-4, -4), perpendicular to y= -4x-5
PLS SHOW WORK

Answer 1

(4-4 = 0) - (4x5 =20) xDDddd

Answer 2

`y = (1)/(4) x - 3`

Explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

-4m= -1

m= -1 ÷(-4)

m= ¼

Substitute m= ¼ into the equation:

y= ¼x +c

To find the value of c, substitute a pair of coordinates.

y= ¼x +c

When x= -4, y= -4,

-4= ¼( -4) +c

-4= -1 +c

c= -4 +1

c= -3

Thus, the equation of the line is y= ¼x -3.