3 years ago

How to calculate the gradient of a line

1 answer:

4 0

The gradient of a line can be calculated using the formula

$\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

where $(x_1,y_1)$ and $(x_2, y_2)$ are two points that the line passes through

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Which equation has a graph that passes through the points at (0,5) and (-3,-4)?

Roman55 [17]

Answer:

$y = 3x + 5$

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).

Now, we know that the equation of a straight line passing through the points ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) is given by

$\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}$ .

So, in our case ( $x_{1},y_{1}$ ) ≡ (0,5) and ( $x_{2},y_{2}$ ) ≡ (-3,-4)

Therefore, the equation of the straight line will be

$\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}$

⇒ $y - 5 = \frac{9}{3}x$

⇒ $y = 3x + 5$ (Answer)

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Answer:

Step-by-step explanation:

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The scatter plot compares the number of movie tickets sold at a theater daily for 7 days. Which is a reasonable conclusion based

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Answer: D

Step-by-step explanation:

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What is the surface area of a square pyramid that has a base of 100 feet squared a base perimeter of 40 feet a height of 50 feet

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The surface area of the square It’s 1,300ft

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Step-by-step explanation:

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