Question

What‌ ‌are‌ ‌intercepts‌ ‌for‌ ‌horizontal‌ ‌and‌ ‌vertical‌ ‌line‌ ‌graphs?‌ ‌

Answer 1

The theoretical question based on line graphs is simple and easy. Let us know the basic equations and general equations on line graphs. And then we will talk about the question asked that is intercepts for horizontal and vertical line graphs.

Complete step-by-step solution:
A y-intercept or vertical intercept is a point in analytic geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, these points satisfy the condition x = 0. The point at which the graph crosses the x-axis is known as the x-intercept. The y-coordinate is zero at this point.
General rules about these horizontal and vertical lines are
1). Make the value of y in the equation to be zero to find the x-intercept. We’ll write our x-intercept as a point(x,0).
2). Make the value of x in the equation to be zero to find the y-intercept. We’ll write our y-intercept as a point(0,y).
Let us consider horizontal line $x=a$
And vertical line as $y=b$
Equation of a line in intercept form as
$\dfrac{x}{a}+\dfrac{y}{b}=1$……………. (1)
Where a in x-intercept and b in y-intercept.
For horizontal line,$x=0$ or $\dfrac{x}{a}=0$and the equation (1) becomes
$\dfrac{y}{b}=1$…………… (2)
For vertical line, $y=0$or $\dfrac{y}{b}=0$ and the equation (2) becomes
$\dfrac{x}{a}=1$ ……………… (3)

Note: The standard error of the intercept helps us to see how the approximate intercept differs statistically from a given (hypothesised) value, which is usually 0. 0..
If we consider a=1 and b=1, then the line graph will be