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Consider the graph below:

What is the equation of the line in slope-intercept form?

Consider the graph below: What is the equation of the line in slope-intercept form-example-1

1 Answer

9 votes

Answer:


y=(-5)/(4)x+5

Explanation:

Slope intercept form:
y=mx+b where
m is the slope and
b is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line (
m)

To do this, we can plug the two given points (0,5) and (4,0) into the slope equation:


(y_2-y_1)/(x_2-x_1) \\= (0-5)/(4-0)\\= (-5)/(4)

Therefore, the slope of the line is
(-5)/(4).

2) Find the y-intercept of the line (
b)

Recall that the y-intercept is the value of y when the line crosses the y-axis. We don't actually need to perform any calculations because on the graph, we can see that the line crosses the y-axis when y=5.

Therefore, the y-intercept of the line is 5.

Plugging both
m and
b into
y=mx+b, we have a final equation of:


y=(-5)/(4)x+5

I hope this helps!

User Metro Smurf
by
8.3k points

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