Question

A coordinate grid with 2 lines. The first line is labeled y equals 0. 5 x plus 3. 5 and passes through (negative 3, 1), (negative 2. 7, 2. 1), and (0, 3. 5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2. 7, 2. 1), and (StartFraction 1 over 3 EndFraction, 0). Which is the approximate solution to the system y = 0. 5x 3. 5 and y = âÂ’A system of equations. Y equals 0. 5 x plus 3. 5. Y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction. X shown on the graph? (â€"2. 7, 2. 1) (â€"2. 1, 2. 7) (2. 1, 2. 7) (2. 7, 2. 1).

Answer 1

Equation of the line is a way to represent the a line in a linear equation form with a set of point given in the graph.The approximate solution of the system given in the question is at point (-2.7,2.1). Thus the option A is correct.

Given-

The equation of the first lines which passes from the points (-3,1), (-2.7,2.1), and (0,3.5) is,

$y=0.5x+3.5$

The equation of the second line which passes from the points (-4,3),(-2.7,2.1), and ( 1/3,0) is,

$y=-\dfrac{2}{3}x +\dfrac{1}{3}$

Equation of the line

Equation of the line is a way to represent the a line in a linear equation form with a set of point given in the graph.

The two lines in the graph intersect each other at point (-2.7,2.1).

This intersection of two lines indicates that at the point of intersection the coordinates of that point are the solution for the two variables.

Hence, the approximate solution of the system given in the question is at point (-2.7,2.1). Thus the option A is correct.

For more about the coordinates, follow the link below-brainly.com/question/17514638