Find an equation of the line perpendicular to 7x+2y+3y+1=0 through the point (-2, 1)

The equation of the line would be y = 5/7x + 17/7

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

7x + 2y + 3y + 1 = 0

7x + 5y + 1 = 0

5y = -7x - 1

y = -7/5x - 1/5

Now that we have a slope of -7/5, we know that the perpendicular slope is 5/7 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 1 = 5/7(x + 2)

y - 1 = 5/7x + 10/7

y = 5/7x + 17/7

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

i believe it is 0.1m because the measurement of 30.4m limits how precise you can be

you can only be as precise as the least precise measurement