Respuesta :
The equation represents the inequality will be y < −2x + 3.Option d is correct.
What is linear inequality?
Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.
Different types of linear inequalities can be represented in a variety of ways.
The linear equation with slope m and intercept y is given as;
y=mx+c
The inequalities are as follows;
(a). y > 2x +3
(b). y < 2x+ 3
(c). y > −2x+ 3
(d). y < −2x+ 3
Because the line meets the y-axis,(0,3)the y-intercept is 3.
The points are (0,3)and(1,1)
The line's slope may be calculated as follows.
[tex]\rm m= \frac{1-3}{1-0} \\\\ \rm m= -2[/tex]
On putting the given origin value;
[tex]y < -2x+3 \\\\0 < -2(0)+3\\\\0 < 3[/tex]
From all the data obtained we get the equation given in option d is correct.
Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.
To learn more about linear inequality refer to the link;
https://brainly.com/question/11897796
The equation represents the inequality will be y < −2x + 3.Option d is correct.
What is linear inequality?
Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.
Different types of linear inequalities can be represented in a variety of ways.
The linear equation with slope m and intercept y is given as;
y=mx+c
The inequalities are as follows;
(a). y > 2x +3
(b). y < 2x+ 3
(c). y > −2x+ 3
(d). y < −2x+ 3
Because the line meets the y-axis,(0,3)the y-intercept is 3.
The points are (0,3)and(1,1)
The line's slope may be calculated as follows.
On putting the given origin value;
From all the data obtained we get the equation given in option d is correct.
Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.
To learn more about linear inequality refer to the link;
brainly.com/question/11897796