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Which graph represents the line 10x+5y=20?

Which graph represents the line 10x+5y=20?-example-1
User Custard
by
4.2k points

2 Answers

3 votes

Answer:

graph on top right

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 10x + 5y = 20 into this form

Subtract 10x from both sides

5y = - 10x + 20 ( divide all terms by 5 )

y = - 2x + 4 ← in slope- intercept form

with slope m = - 2 and y- intercept = 4

Since slope < 0 then line slopes downwards from left to right

There are 3 graphs sloping downwards from left to right

Consider the y- intercept value = + 4

Top left graph has a y- intercept = - 4

Top right graph has a y- intercept of + 4

Bottom left graph has a y- intercept of + 2

Hence the required graph is the top right

User MrMojoRisin
by
5.1k points
1 vote

Answer:

the second to the right

Explanation:

User TrySpace
by
5.1k points