Write an equation of a line whose graph is parallel to the graph of y = 3x – 10.

Question

anonymous · Answer

what is "line" in this case?

anonymous · Answer

A line on a graph I'm not sure

campbell_st · Answer

what is the slope of the given line..that is the important part of the question... 

your line is in the form 

y = mx +  b

m = slope and b = y-intercept

so what is the value of m in the line you were given?

anonymous · Answer

I wasnt?

campbell_st · Answer

you have been given the line 

 y = 3x -10

y = mx + b       is the slope intercept form, where m = slope


compare the 2 equations, what do you think the slope is..?

anonymous · Answer

ohh okay one sec

anonymous · Answer

@campbell_st I'm not sure can you please just walk me through it from the beginning

campbell_st · Answer

ok... in the line you are given, what number is in the m position..?

anonymous · Answer

3

campbell_st · Answer

great, thats the slope.... 

parallel lines have the same slope 

so your equation is 

y = 3x + b... 

now for your parallel line pick a number for b..anything... what would you choose..

anonymous · Answer

Any number?

campbell_st · Answer

well make it sensible... not 346551034

anonymous · Answer

okay 5 @campbell_st

campbell_st · Answer

great so that is b 

so your equation is 

y = 3x + 5         means the slope is 3 and where the line cuts the y axis is  y = 5

the given line was 

y = 3x - 10       slope is 3 (so the 2 lines are parallel) and it cuts the y-axis y = -10

hope it makes sense