Question

Write an equation of the line that passes through (4, -2) and is parallel to the line defined by 4x+y=-6. 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

1) P1 = (4, -2) parallel to 4x + y = -6

Ok

1.- Find the slope of the parallel line

4x + y = -6

Solve for y

y = -4x - 6

Slope m = -4

2.- Find the equation of the new line

y - y1 = m(x - x1)

-Substitution

y + 2 = -4(x - 4)

y + 2 = -4x + 16

y = -4x + 16 - 2

y = -4x + 14 slope intercept form

3.- Standard form

4x + y = 14

4.- Result

Slope-intercept form y = -4x + 14

Standard form 4x + y = 14