Question

Find an equation of the line that satisfies the given conditions.
y-intercept 2; parallel to the line
5x + 6y + 7 = 0

Answer 1

@blues when two lines are parallel , their slopes are equal
u have been given the equation of the line , first determine the slope from this equation
using y = mx +c form

Answer 2

equation of the line is 5x+6y+7 = 0
6y = -5x-7
\[y = -\frac{ 5 }{ 6 }x-\frac{ 7 }{ 6 }\]
now this is of the form of
y = mx+c
where m is slope and c is y intercept
now can u tell what is the slope of the line ?

Answer 3

slope is -5/6

Answer 4

I get confused when I have to put in back to =0

Answer 5

so it would be -7/6=-5/6+7=0?

Answer 6

in the equation of form y=mx+c
m is the slope. You have calculated the slope of the parallel line - so that is the slope of your new line.

c is the intercept on the y axis, which is given in the question

So now you know the slope and intercept - so you can write the equation

y = mx + c using the values you have established....

Answer 7

still doesn't make any since sorry

Answer 8

do you understand the general form of a straight line equation?

y=mx+c

Answer 9

The lines above are parallel - so they have the same slope

They have different intercepts - line 2 is simply line 1 "shifted upwards"

Answer 10

Do you want the answer to your question?

Answer 11

apparently not