#Gradients and intercepts on graphs

10 messages · Page 1 of 1 (latest)

gleaming glen
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I'm stuck on on finding the features of the gradient and the x and y intercept of these lines. Can anyone help?

image.png
sterile wasp
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Let's start with A.

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The gradient is the change in y/change in x.

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Although the numbers aren't there, try to put them on. You've been given six.

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Im taking 2 points from line A in order to find the gradient.

We have:
(1,6)
(0,3)
Change in y = 3
Change in x = 1
3/1 = 3
Gradient = 3

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To the lines equation:
3x
(1)(3) = 3
6-3 = 3
So it would be:
y = 3x + 3

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We know the equation:
y = mx + c
C is the y intercept, so 3 is the y intercept

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To find the x intercept, we plug in 0 for y to find x.
0 = 3x + 3
-3 = 3x
x = -1
So the x intercept is -1

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So:
Question 1: 3
Question 2: 3
Question 3: -1

gleaming glen
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thanks you a livesaver fr ❤️