How do you find the slope and intercept of -5x - 2y = 185x2y=18?

1 Answer
May 6, 2016

Slope = -5/22522

yy-intercept is -99 and the point is (0,-9)(0,9)

xx-intercept is -3.63.6 and the point is (-3.6,0)(3.6,0)

Explanation:

First, we find the slope and yy-intercept

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

Where, mm is the slope of the line and cc is the yy-intercept.

Let us write the given line in the standard form:

y=-(5x)/2-18/2y=5x2182

=>y=-(5x)/2-9y=5x29

Comparing y=mx+cy=mx+c to the given equation, y=-(5x)/2-9y=5x29

m=-5/2m=52 and c=-9c=9

=> Slope = -5/2=52 and yy-intercept = -9=9

Next, we work out the xx-intercept.

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

Pretty simple.

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

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xx-intercept is -3.63.6.