On a coordinate plane, a line goes through (-2,0) and (0,-3) and another goes through (0,2) and (4,-4).
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
On a coordinate plane, a line goes through (-2,0) and (0,-3) and another goes through (0,2) and (4,-4) and this can be determined by using the given data.
Given :
3x + 2y = -6
[tex]y=\dfrac{-3}{2}x+2[/tex]
The following steps can be used in order to determine the graph that represents the given system:
Step 1 - Write the given system of equations.
3x + 2y = -6
[tex]y=\dfrac{-3}{2}x+2[/tex]
Step 2 - Now, determine the x and y-intercept of the equation (3x + 2y = -6).
Substitute the value of (x = 0) in the equation in order to determine the y-intercept.
2y = -6
y = -3
Substitute the value of (y = 0) in the equation in order to determine the x-intercept.
3x = -6
x = -2
Step 3 - Now, determine the x and y-intercept of the equation [tex]y=\dfrac{-3}{2}x+2[/tex]
Substitute the value of (x = 0) in the equation in order to determine the y-intercept.
y = 2
Substitute the value of (y = 0) in the equation in order to determine the x-intercept.
3x = 4
x = 4/3
Therefore, the correct option is B) On a coordinate plane, a line goes through (-2,0) and (0,-3) and another goes through (0,2) and (4,-4).
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