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How do you graph #y=5+10x#?

Answer 1

Ethan Adkins

As detailed.

#y = 10x + 5#

It is in the slope-intercept form #y = mx + c#

#Slope = m = 10#

#"Y-intercept " = c = 5#

When y = 0, X-intercept #= -5/10 = -1/2#

#color(brown)("Knowing X-intercept, Y-intercept, we can plot the graph."#

graph{10x + 5 [-10, 10, -5, 5]}

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Answer 2

Eli Assouline

To graph the equation y = 5 + 10x:

Plot the y-intercept at (0, 5).
Use the slope (10) to find additional points. The slope tells us that for every increase of 1 in x, y increases by 10.
So, from the y-intercept, move 1 unit to the right and 10 units up to get another point. This gives you the point (1, 15).
Draw a straight line through these two points to represent the graph of the equation y = 5 + 10x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.