Find an equation of the line with the slope m=−1/8 that passes through the point ​(−5​,0​). Write the equation in the form Ax+By=C.

x+8y= -5

Step-by-step explanation:

1) the required equation of the line has an slope-interception form:

y=mx+i, where m - slope, i - interception.

2) if the given point belongs to the required line, then it is possible to substitute its coordinates into the equation, then:

0=m*(-5)+i; ⇔-5m+i=0;

3) if the slope m= -1/8, then

-5*(-1/8)+i=0, ⇒5/8+i=0; ⇒ i= -5/8.

4) finally, the required equation is (m= -1/8; i= -5/8):

y= (-1/8)*x-5/8; ⇔ x+8y= -5.

note: the suggested solution is not the only way.

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Step-by-step explanation: