slope and intercept equation

Question

Write an equation of the line that passes through the given point
and has the given slope. Write your equation in slope-intercept form.

(8,0);m=-1/4

Answer 1

Given point (8,0) and slope m=-1/4

Line passes through the point (x₁ , y₁) =(8,0)

Formula of the line equation is (y - y_{1) =}m (x - x₁ )

Substitute the point (10,-8) and slope m=-1/4 in formula

(y - 0 ) ₌ -1/4 (x - 8 )                    

y  ₌ -1/4 (x - 8 )                         (simplify)

y  ₌ -x/4 - 8/4

y  ₌ -x/4 - 2                                ( 8/4 =2)

y  ₌ -1/4(x) - 2

The slope intercept equation is y  ₌ -1/4(x) - 2.

Comments

• Point - slope - form of a line equation is y - y_{1 =} m(x - x₁), where m is slope, and (x_1, y₁) is the point lies on the line.
• Slope - intercept - form of a line equation is y = mx + b, where m is slope, and b is y - intercept.

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y - 0 = (- 1/4)(x - 8)

y = (- x/4) + 2.

The line equation is y = (- x/4) + 2.