equation of a line is 2x+3y-4=0. find its x and y intersect
Answers
Step-by-step explanation:
We solve the given line 2x+3y=4 for y as follows:
2x+3y=4⇒3y=−2x+4⇒y=3−2x+4⇒y=−32x+34
m=−32 and c=34
You mean the x-intercept and the y-intercept.
First, convert this equation into slope-intercept form.
2x + 3y + 4 = 0
Subtract 4 and 2x from both sides:
3y = -2x-4
Divide both sides by 3:
y = -2/3x - 4/3
Set x equal to zero to find the y-intercept:
y = -2/3*0 - 4/3
y = -4/3
Thus, the y-intercept is at (0, -4/3)
Now, set y equal to zero to find the x-intercept. You do this by solving for x when y = 0.
y = -2/3x - 4/3
y = 0
0 = -2/3x - 4/3
Add 4/3 to both sides:
4/3 = -2/3x
Multiply both sides by 3 to get rid of the fractions:
4 = -2x
Divide both sides by -2:
x = -2
Thus, the x-intercept is at (-2,0)
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