Respuesta :
Answer:
y = -2x - 5
Step-by-step explanation:
First, find the slope of the initial equation by writing in slope-intercept form
y = mx + b
-2x + 4y = 8
+2x +2x (Add 2x to both sides)
4y = 8 + 2x
4y = 2x + 8 (Rearrange the equation)
4 4 4 (Divide each term by 4)
y = 1/2x + 2
When comparing the the equation y = mx+b, where m is your slope,
the slope of this equation is 1/2. To find the line perpendicular, the slope will be the reciprocal with the "opposite sign". The reciprocal of 1/2 is 2 and since the original was positive, the perpendicular slope must be negative.
Begin to write your equation with the slope m = -2 using point slope formula: y - y1 = m (x - x1)
y - 1 = -2(x - (-3) (Plug in values)
y - 1 = -2(x + 3) (Distribute negative inside parentheses)
y - 1 = -2x - 6 (Distribute -2 to both terms inside parentheses)
+ 1 + 1 (Add 1 to both sides)
y = -2x - 5
Check your answer by filling in the original point (-3, 1)
y = -2x - 5
1 = -2(-3) - 5 (Plug in values)
1 = 6 - 5 (Multiply)
1 = 1
