Question

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(-6,-8); y = -2x + 5

Answer 1

Answer:

y= -2x-20

Step-by-step explanation:

y = -2x+5 is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2 is the slope

Parallel lines have the same slope

We know the slope -2 and a point on the line (-6,-8)

y = mx+b

-8 = -2(-6)+b

-8 = 12+b

-8-12 = 12+b-12

-20 = b

y= -2x-20

Answer 2

y=-2x+5

• m=-2
• Parallel lines have equal slope

Equation of line in point slope form

$\ \ \sf\longmapsto y-y1=m(x-x1)$

$\ \ \sf\longmapsto y+8=-2(x+6)$

$\ \ \sf\longmapsto y+8=-2x-12$

$\ \ \sf\longmapsto 2x+y+20=0$