Gradient & y-intercept

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#13949

Gradient and y-intercepts

$$y=mx+c$$

$$m=\frac{rise}{run}$$

c = y-intercept

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#18827

Find the gradient of the line x + 2y = 6.

Express the equation in the form: y = mx + c

2y = –x + 6             subtract x from both sides

y = -½x + 3           divide both sides by 2

m = -½

[Admin]

#18828

Find the equation of a line that has a gradient of 3 and a y-intercept of 2.
m = 3 c = 2 ∴ y = 3x + 2	y = mx + c where m is the gradient and c is the y-intercept

[Admin]

#18830

Find the gradient of the line shown in the graph.
$$m=-\frac{2}{4}$$ m = -½	$$m=\frac{rise}{run}$$ it goes up to 2: rise = 2 it runs across to 4: run = 4 and it is negative (going down)

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