7.1 Graphing System of Equations

The graph of a system of two linear equations is shown. How many solutions does the system have?

يمثل الرسم البياني لنظام مكون من معادلتين خطيتين. كم عدد الحلول التي يمتلكها النظام؟

• no solutions

• exactly one

• exactly two

• infinitely many

Which of the following is true about the graph of the linear equation y = − 7x + 5?

• The slope is 5, and the y-intercept is − 7.

• The slope is − 5, and the y-intercept is − 7.

• The slope is − 7, and the y-intercept is − 5

• The slope is − 7, and the y-intercept is 5.

The graph of a system of two linear equations is shown. How many solutions does the system have?

• One solution

• No solution

• Infinitely many solutions

A system of two linear equations has infinitely many solutions.

What can you conclude about the graphs of the two equations?

• same slope (m) and same y-intercept (b).

• same slope (m) and different y-intercepts (b)

• different slopes (m) and same y-intercept (b)

• different slopes (m) and different y-intercepts (b)

The graph of a system of two linear equations is shown. How many solutions does the system have?

• One solution

• No solution

• Infinitely many solutions

The graph of a system of two linear equations is shown. What is the type of the system?

ما هو نوع نظام المعادلات الخطية؟

• Inconsistent

• Consistent Dependent

• Consistent Independent