How do you find the slope and intercept of y=−x+2?

2 Answers
reudhreghs
Apr 24, 2016

Slope is −1, y intercept is 2.

Explanation:

The equation of the graph is given in the form

y=mx+b=−x+2

where m is the gradient or slope, and b is the intercept on the y axis.

By simply comparing the two equations, we can see that m=−1 and b=2.

This means the graph has a slope of −1, and crosses the y axis at point (0,2).

Tony B
Apr 24, 2016

Gradient (slope) = -1
y-intercept→(x,y)=(0,2)
x-intercept→(x,y)=(2,0

Explanation:

Compare to y=mx+c

m→gradient (slope)
c→y-intercept

Given: y=−x+2
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine gradient

Write as: y=[(−1)×x]+2

The gradient →m=−1
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine y-intercept

y-intercept→c=2

To prove y-intercept = 2

The graph crosses the y-axis at x=0. Substituting this value:

y=−x+2 → y=−(0)+2=2

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine x-intercept

The graph crosses the x-axis at y=0. Substituting this value

0=−x+2

Add x to both sides

0+x=−x+x+2

x=0+2
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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