Which linear inequality is represented by the graph?

y = 3x + 2

Step-by-step explanation:

The shaded region is somewhat going up, and the graph is positive. That leaves 2 answer choices. If you measure the slope by counting the blocks from one point to another by counting up/down from one point to the height to another point, and then go right or left to the other point. the slope is 3, therefore y = 3x +2 is the answer, as it is the only one that the shaded region is above the line and that has a slope of 3. Hope this helps!

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form