Question

Work out the equation of the line which has a grediant of 3 and passes througt the point(-1,3)

Answer 1

Respuesta:

Explicación paso a paso:

no se

Answer 2

Answer:

y = 3x + 6

Explanation:

The basic equation that represents a line is

$y = mx + b$

Where m represents the slope or gradient of it.

We are given that the gradient is 3, therefore:

m = 3

In the previous formula, b represents the intersect of the line with the y-axis. To find that value, we can use the point given in the following way:

$y = mx + b \\ 3 = 3( - 1) + b \\ 3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

Why? Because every point of the line can be obtained by the equation. Therefore, we can replace the values of the point (3 in y and -1 in x) to find b (which in this case is 6.)

Now that we have the value of the gradient and the intersect with the y-axis, we can write the equation of the line as:

$y = 3x + 6$