Identify the graphed linear equation.
a) y = 2/5x - 5

b) y = 1/5x - 5

c) y = 2/5x + 5

d) y = 1/5x + 5

Choice D) y = (1/5)x + 5

Explanation:

The y intercept is 5, as this is the the location where the line crosses through the vertical y axis. We can cross choice A and choice B off the list as these equations have a y intercept of -5.

Recall that y = mx+b has m as the slope and b as the y intercept.

We see the graph has a slope of 1/5 because we start at (0,5) and move up 1, then move over to the right 5 units to arrive at (5,6), which is another point on the red line. The equation for choice D has a slope of 1/5 because m = 1/5 for the equation y = (1/5)x + 5 in slope intercept form y = mx+b.

That's why choice D is the answer.

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step-by-step explanation:

i wish i could u

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is