write the gradient and y-intercept of the line 3x+4y=24.
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write the gradient and y-intercept of the line 3x+4y=24.
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Answer:
To find the gradient and y-intercept, you can rearrange the given equation into the slope-intercept form (y = mx + b), where m is the slope (gradient) and b is the y-intercept.
For the equation 3x + 4y = 24:
1. Subtract 3x from both sides: 4y = -3x + 24
2. Divide both sides by 4: y = (-3/4)x + 6
Now, the equation is in the slope-intercept form. The gradient (m) is -3/4, and the y-intercept (b) is 6.