Question

Write an equation of the line that passes through (-4,-5) and is parallel to the line defined by 4x +y = -5. Write the answer inslope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot bewritten" button, if applicable.The equation of the line in slope-intercept form:

Answer 1

Answer: y = -4x - 21 OR 4x + y = -21

The given line is 4x + y = -5

Given point = (-4, -5)

Step 1: find the slope of the line

The slope intercept form of equation is given as

y = mx + b

Re -arrange the above equation to slope - intercept form

4x + y = -5

Isolate y

y = -5 - 4x

y = -4x - 5, where m = -4

Since the point is parallel to the equation

Therefore, m1 = m2

m2 = -4

For a given point

(y - y1) = m(x - x1)

Let x1 = -4, and y1 = -5

[(y - (-5)] = -4[(x - (-4)]

[y + 5] = -4[x + 4]

Open the parentheses

y + 5 = -4x - 16

y = -4x - 16 - 5

y = -4x - 21

The equation is y = -4x - 21 or 4x + y = -21