Question

State the linear inequality, that corresponds to the graph shown, on your paper.
Please help​

Answer 1

A linear inequality in slope-intercept form that represents the relationship shown on the graph is y < 7/3(x) - 4.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

First of all, we would determine the slope for this graph by using these points (-3, 3) and (0, -4);

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (-4 - 3)/(0 - 3)

Slope (m) = -7/-3

Slope (m) = 7/3

At data point (0, -4) and a slope of 7/3, a linear inequality for this line can be calculated by using the point-slope form as follows:

`y - y_1 = m(x - x_1)`

y + 4 = 7/3(x - 0)

y = 7/3(x) - 4

y < 7/3(x) - 4 (since the line is a dashed line and shaded below).