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.

add an image

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic