Math  /  Geometry

Question(A) Find the slope of the line that passes through the given points. (B) Find the standard form of the equation of the line. (C) Find the slope-intercept form of the equation of the line. (1,4)(1,4) and (4,8)(4,8)

Studdy Solution
Convert the standard form 4x3y=8 4x - 3y = -8 to the slope-intercept form y=mx+b y = mx + b .
Start by solving for y y :
4x3y=8 4x - 3y = -8
Subtract 4x 4x from both sides:
3y=4x8 -3y = -4x - 8
Divide every term by 3-3:
y=43x+83 y = \frac{4}{3} x + \frac{8}{3}
Solution: (A) The slope of the line is 43 \frac{4}{3} . (B) The standard form of the equation of the line is 4x3y=8 4x - 3y = -8 . (C) The slope-intercept form of the equation of the line is y=43x+83 y = \frac{4}{3}x + \frac{8}{3} .

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