Write an equation for the line parallel to the given line that contains c. c(-3,8); y = 4/5x+5 (write in slope intercept form)

The equation for the line parallel to the given line  y = 4/5x+5 that contains the point C(-3,8) is y = 4/5x + 52/5

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given that a line is parallel to the line y = 4/5x + 5 and contains the point C(-3, 8). The slope of this line parallel has the same slope a that of y = 4/5x+5

Therefore the slope of the parallel line is 4/5.

Therefore since the line passes through the point C(-3, 8). The equation is given by:

In the equation you want to find, the constant on the right (the y-intercept) will be the one that lets the line go through the given point. Putting that point in the equation, we can solve for the intercept:

... 8 = (4/5)(-3) + b

Adding 2.4 to each side gives

... 10.4 = b

Your equation is ...

... y = (4/5)x + 10.4

The constant 10.4 could be written 52/5 if you like.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

dont know

step-by-step explanation: