How do you write an equation in point slope form given slope: 3/4, y intercept: -5?
Note: the y-intercept is the point (0,-5) We use the formula:
This is slope-intercept form, but the given point was the y-intercept.
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The point-slope form of an equation is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, and m is the slope. Given the slope (m) as 3/4 and the y-intercept as -5, we can substitute these values into the point-slope form to get the equation. Therefore, the equation in point-slope form is y - (-5) = 3/4(x - 0), which simplifies to y + 5 = 3/4x.
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To write an equation in point-slope form given a slope of ( \frac{3}{4} ) and a y-intercept of -5, you can use the formula:
[ y - y_1 = m(x - x_1) ]
Where:
- ( m ) is the slope (given as ( \frac{3}{4} ))
- ( x_1 ) and ( y_1 ) are the coordinates of any point on the line. Since the y-intercept is given as -5, we can choose ( x_1 = 0 ) and ( y_1 = -5 ).
Substitute the values into the formula:
[ y - (-5) = \frac{3}{4}(x - 0) ]
Simplify:
[ y + 5 = \frac{3}{4}x ]
This is the equation in point-slope form.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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