Question

Write an expression in simplest form that represents the vertical distance between the two lines shown. Graph of a system of 2 linear equations. The line y equals x minus 1 goes through ordered pair 0 comma negative one and ordered pair 3 comma 2. The line y equals 2 x minus 4 goes through ordered pair 0 comma negative 4 and ordered pair 3 comma 2. Expression in simplest form: Question 2 What is the distance when $x=3$ ? Distance: What is the distance when $x=-3$ ? Distance: Skip to navigation

Answer 1

The distance between the two lines from the graph is 1 unit.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given equations are as below,

y = x - 1

And,

y = 2x - 4

They can be drawn on a graph as follows,

From the graph the distance between two lines can be calculated as the difference between their x-intercepts as,

2 - 1 = 1 unit.

Hence, the distance between the two lines is given as 1 unit.

To know more about straight line equation click on,

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