Respuesta :
Answer:
y=3x-1
Step-by-step explanation:
- First we need to rewrite 6x-2y+10 =0 into the standard slope form of y=mx+b when done you get y=3x+5
- Next we need an equation that passes through the point (-2,7). Now remember equations that are parallel have the same slope so the equation should look like y=3x
- In standard slope form the b is the y-intercept. We now need to plug in the x ordered pair value into the standard slope equation. y=3(-2)+5 to get y=-1 meaning -1 is the y-intercept
- Therefore the answer is y=3x-1
Answer:
Y = 3X + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )
- 2y = - 6x - 10 ( divide terms by - 2 )
y = 3x + 5 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , so
y = 3x + c ← is the partial equation
To find c substitute (- 2, 7 ) into the partial equation
7 = - 6 + c ⇒ c = 7 + 6 = 13
y = 3x + 13 ← equation of line in slope- intercept form
