Respuesta :
Answer:
y=-2/5 x -1 (It says check all that apply... I hope this equation hasn't been written in a different form in your choices-let me know)
Step-by-step explanation:
Rearrange 2x+5y=10 into slope-intercept form.
First step: Subtract 2x on both sides: 5y=-2x+10
Second step: Divide both sides by 5 giving: y=-2/5 x+2
The slope is -2/5.
Parallel lines have the same slope.
So we know the equation of our new line is in the form y=-2/5 x+b.
We need to find the y-intercept of our line... let's just use the point they have our line going through to find it. Plug in and solve for b.
1=-2/5 (-5)+b
1=2+b
-1=b
So the equation is y=-2/5 x -1
Answer:
see explanation
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 )
Rearrange 2x + 5y = 10 into this form
Subtract 2x from both sides
5y = - 2x + 10 ( divide all terms by 5 )
y = - [tex]\frac{2}{5}[/tex] x + 2 ← in slope- intercept form
with slope m = - [tex]\frac{2}{5}[/tex]
• Parallel lines have equal slopes, so
y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation of the parallel line
To find c substitute (- 5, 1) into the partial equation
1 = 2 + c ⇒ c = 1 - 2 = - 1
y = - [tex]\frac{2}{5}[/tex] x - 1 ← in slope- intercept form
Multiply through by 5
5y = - 2x - 5 ( add 2x to both sides )
2x + 5y = - 5 ← in standard form
