How do you find the slope and intercept of -5x - 2y = 18?

1 Answer
May 6, 2016

Slope = -5/22

y-intercept is -9 and the point is (0,-9)

x-intercept is -3.6 and the point is (-3.6,0)

Explanation:

First, we find the slope and y-intercept

Now, the equation of a line is of the form color(red)(y=mx+c)

Where, m is the slope of the line and c is the y-intercept.

Let us write the given line in the standard form:

y=-(5x)/2-18/2

=>y=-(5x)/2-9

Comparing y=mx+c to the given equation, y=-(5x)/2-9

m=-5/2 and c=-9

=> Slope = -5/2 and y-intercept = -9

Next, we work out the x-intercept.

The x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

Pretty simple.

Here is a step-by-step calculate the x-intercept .

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x-intercept is -3.6.