Question

A line has the equation y - 4 = 3x + 11 Work out the gradient and the y-intercept of the line.​

Answer 1

The gradient of the line is 3 and the y-intercept is 15.

Step-by-step explanation:

The given equation for the line is y - 4 = 3x + 11. To find the gradient, we need to rearrange the equation in slope-intercept form, which is y = mx + b, where m is the gradient and b is the y-intercept.

First, add 4 to both sides of the equation to isolate the y term: y = 3x + 15. Now we can see that the gradient is 3 because it is the coefficient of x.

The y-intercept is the value of y when x is 0. So, substitute x = 0 into the equation: y = 3(0) + 15. This simplifies to y = 15. Therefore, the y-intercept is 15.

Answer 2

Answer: Gradient is 3 and y-intercept is 15

Step-by-step explanation:

by rearranging the equation so y is on 1 side we get:

y = 3x + 15

the gradient is the number before the x (coefficient)

the y intercept is the number that is not multiplied by the x, in this case 15