Question #76df0

2 Answers
Dec 18, 2016

The equation would be y=mx+b

Explanation:

B is the y intercept, the point of the line that touches some part of the y-axis.

M is the slope (rise over run). You find it by plugging two points on the line into the slope equation: m=y2y1X2x1.

Y is basically the linear function.

So if I have a line with the equation: y=2x+1

I can plug in values for x and y (let's say 1). I replace x with 1 so --> y=2(1)+1. SO if x is 1, then I can solve the equation and say y=3. That's one point (1, 3) on the line of the equation above. Another value to find another point. b is 1 because y = 2x + 1. That means at (x, 1) the line touches the y-axis.

And as I gave the equations above, when you find the second coordinate (the first being (1, 3)) by plugging in another value for x and solving for y, you can find m, the slope.

Dec 18, 2016

Perhaps the question refers to the "intercept form" of a line:

xa+yb=1,
where the x intercept is (a,0) and the y intercept is (0,b).

To convert this form to slope intercept form y=mx+b (where m is the slope and b is the y intercept),

multiply the equation xa+yb=1 by the LCD ab

ab(xa+yb=1)

abxa+abyb=ab

bx+ay=ab
bxaaabx

ay=bx+ab

aya=bxa+aba

y=(ba)x+b

So, to convert from the "intercept form" of a line xa+yb=1
to the "slope intercept form" y=mx+b,

the slope m=ba and the y intercept b is equal to the "b" in the intercept form.