how do I put y + 1/3x = 4 into slope-intercept form?
2007-05-15 04:16:58 · 7 answers · asked by grem 3 in Science & Mathematics ➔ Mathematics
I need help with understanding the steps, thanks.
2007-05-15 04:18:10 · update #1
Man, where would I be without Yahoo.
2007-05-15 04:32:07 · update #2
slope intercept form looks like y = mx + b
so you need to solve your equation for y, this means make it so Y is the only thing on one side of the equals sign
Therefore follow these steps
subtract 1/3 x from both sides
Your equation now looks like
y = -1/3 x + 4
This is in slope intercept form.
m (the slope) is -1/3
b (the y intercept) is 4
y-intercept means the spot where your line will cross the y axis on a cartesian graph
2007-05-15 04:21:32 · answer #1 · answered by csucdartgirl 7 · 1⤊ 0⤋
you're effectively given 2 factors in which your line passes, that's sufficient to stipulate a directly line. One element you're given explicitly as (2, 4). The x coordinate of your different element is your x intercept. because of the fact that is an x-intercept, the y coordinate of that element is immediately 0. Your 2d element is subsequently (-2, 0). From those 2 factors, you will hit upon a slope. Taking your unique element to be a million and your x intercept to be element 2, you get for the slope: m = (y2 - y1) / (x2 - x1) = (0 - 4) / ((-2) - 2) = (-4) / (-4) = a million This slope you may now plug into the element-slope kind alongside with the two of your factors (i % element a million) to get y - y1 = m * (x - x1) or y - 4 = a million * (x - 2) If we wish, we are able to remedy for y and alter this into slope-intercept kind, giving y = x + 2
2016-12-29 05:18:57 · answer #2 · answered by gelsey 3 · 0⤊ 0⤋
y = mx + b is the slope- Intercept form
y + 1/3x = 4
Subtract 1/3 x from both sides and you have it.
y = -1/3x + 4
2007-05-15 04:22:43 · answer #3 · answered by Robert L 7 · 1⤊ 0⤋
This one is actually pretty easy. You got lucky!
Slope-Intercept form looks like this:
y=mx+b.
What you have right now looks like this:
y+mx=b
with 1/3=m and 4=b. See the difference?
What you need to do is move the "mx" over to the other side of the equation, like this:
y= -mx+b
Put in the numbers for m and b, as I showed you above, and it will be in the correct form.
And you're done!
2007-05-15 04:23:08 · answer #4 · answered by Dark Knight 3 · 1⤊ 0⤋
need to have y by itself, so we are going to subtract 1/3x from both sides of the equation:
y = -1/3x + 4
slope = -1/3, y-int = 4
2007-05-15 04:22:03 · answer #5 · answered by Ana 4 · 1⤊ 0⤋
y=mx+b
y=-1/3x+4
2007-05-15 04:25:07 · answer #6 · answered by Anonymous · 0⤊ 0⤋
subtract (1/3)x from both sides to get
y = -(1/3)x + 4
2007-05-15 04:21:10 · answer #7 · answered by kellenraid 6 · 1⤊ 0⤋