Question

How do you find slope, y – intercept and x – intercept in an equation y = 2x + 4?

Answer 1

Hint: We will first find the slope using the comparison with the general equation of line, then y intercept and find the x intercept as required in the question by putting x and y to be 0 respectively.

Complete step-by-step answer:
We are given that we are required to find slope, y – intercept and x – intercept in the equation
y = 2x + 4.
The general equation of a line is given by: y = mx + c, where m is the slope of the line.
Now, if we compare it to the given equation, we have m = 2.
Hence, the slope of the line given by the equation y = 2x + 4 is 2.
Now, let us find the x – intercept of the given equation.
To find the x – intercept, we just put y = 0 and the value of x we will receive will be the x – intercept.
Putting y = 0 in y = 2x + 4, we get: 0 = 2x + 4.
Re – arranging the terms to get:- x = -2.
Hence, the x – intercept required is -2.
Now, let us find the y – intercept of the given equation.
To find the x – intercept, we just put x = 0 and the value of y we will receive will be the y – intercept.
Putting x = 0 in y = 2x + 4, we get: y = 0 + 4.
Hence, the y – intercept required is 4.

Note:
The students must know what does the terms slope, y – intercept and the x – intercept represent and refer to.
Slope of a line represents the tangent of the angle that the line makes with the positive direction of x – axis.
x – intercept of a line represents where the line cuts the x – axis at and y – intercept of a line represents where the line cuts at y – axis.