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Find the gradient and y-intercept of the equation 2x + y = 3.
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Answer
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| Point | x | y |
|---|---|---|
| y-intercept | 0 | 3 |
| x-intercept | 1.5 | 0 |
Step-by-step solution
3 stepsHere's how to find the gradient and intercept of the given equation:
The equation is .
To find the gradient and y-intercept, we need to express the equation in the slope-intercept form, which is , where is the gradient and is the y-intercept.
Rearrange the equation to solve for .
Subtract from both sides of the equation:
Identify the gradient ().
Comparing with , the coefficient of is the gradient.
The gradient .Identify the y-intercept ().
Comparing with , the constant term is the y-intercept.
The y-intercept .The gradient is and the y-intercept is .
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