What is the slope of the line whose equation is 7x+3y=15? with steps.

slope, m = -7/3

Step-by-step explanation:

The equation of the line is

7x+3y=15.

To find the slope,

We will consider the standard slope intercept equation also known as the equation of a straight line,

y = mx + c

Where m = slope( change in y values divided by change in x values)

c = the y intercept. This is the point where the straight line cuts across the y axis

Looking at the given equation, 7x+3y=15,

We would need to rearrange it and make y the subject of the formula. It becomes

3y = 15 - 7x

Dividing the right hand side of the equation and left hand side of the equation by 3,

y = -7x/3 + 15. Comparing with the slope intercept equation,

m = -7/3

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