Question

what is the equation of the line, in slope-intercept form, of a line with a slope of -1/4, which passes through the point (-4,6)

Answer 1

y=-1/4x+5

Explanation:

We need b also known as y intercept

slope-intercept form: y=mx+b

plug in x and y points

and we know m or slope is -1/4

(6)= -1/4 (-4) +b

we multiplied -1/4 by -4 which gave us +1

6= 1+b

6-1=b

5=b

Now we know what b is, so

y= -1/4x + 5

Answer 2

y = (-1/4)x + 5

Explanation:

y = mx + b

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Solve for b first

6 = (-1/4)-4 + b

6 = 1 + b

6 - 1 = b

5 = b

y = (-1/4)x + 5