write the equation in slope-intercept form:
1. 18y+2x-9=0
2. 3x-4y=-8
Put these in the form of
y = mx + b
Write an eq
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To write an equation in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, you need to isolate the y variable on one side of the equation.
1. 18y + 2x - 9 = 0
First, let's isolate the y term by subtracting 2x and adding 9 to both sides:
18y = -2x + 9
Next, divide both sides of the equation by 18 to get y by itself:
y = (-2/18)x + 9/18
Simplifying further:
y = -(1/9)x + 1/2
Therefore, the equation in slope-intercept form is y = -(1/9)x + 1/2.
2. 3x - 4y = -8
Similarly, let's isolate the y term by subtracting 3x from both sides:
-4y = -3x - 8
Next, divide both sides by -4 to get y by itself:
y = (-3/-4)x + 8/-4
Simplifying further:
y = (3/4)x - 2
Therefore, the equation in slope-intercept form is y = (3/4)x - 2.