The slope of a line is negative 1 / 5 and the y-intercept is 5 what is the equation of the line written in general form

Answer;

= x + 5y -25 =0

Explanation;

Thee equation of a line in general form is ;

Ax + By + C = 0

Where A, B and C are integers.

The equation of a line in slope-intercept form is

y = mx + b ; where m is the slope and b is the y-intercept

In this case; m = -1/5 and b =5

thus; y = -1/5 x + 5 (the slope-intercept form)

y = -1/5 x + 5

Multiplying all terms by 5

5 y = -x + 25

= x + 5 y - 25 = 0 (in general form)

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.