Question

Work out an equation of the straight line with gradient 3 that passes through the point with coordinates (2, 4).

Answer 1

Answer:

The answer is

$\huge \boxed{y = 3x - 10}$

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, 4) and the slope is 3

The equation of the line is

$y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4$

We have the final answer as

$y = 3x - 10$

Hope this helps you