Question

Please answer every question i need this

Answer 1

Slope is defined as the rate of change of a linear equation. It is the factor by which the value of the function increases or decreases as the input changes.

Often, you see lines in slope-intercept form. This easily shows the slope and intercept of the function, hence the name. The equation is as follows:

`y=mx+b`

In this form, m is the slope and b is the y-intercept.

So in y = x - 7, the input variable, x, is understood to have a coefficient of 1, so the slope of line a is 1.

In line b, we need to solve for the slope algebraically. The slope formula is:

`m=(y_2-y_1)/(x_2-x_1)`

Given two points on line b, we can solve for slope. Let's use (1, 6) and (2, 7).

`m=(7-6)/(2-1)\\m=\frac11\\m=1`

So, the slope of line b is 1. Therefore, the slope of line a is equal to the slope of line b.