Question

Write an equation for the line in point-slope and slope-intercept forms.

Passes through (3, 5) and has a slope of 5/3.

Answer 1

• passes through (3,5)
• Slope=m=5/3

point slope form:-

• y-y_1=m(x-x_1)
• y-5=5/3(x-3)
• 3(y-5)=5(x-3)
• 3y-15=5x-15

Slope intercept form

y=mx+b

• 3y=5x
• y=5/3x+0

Answer 2

point-slope form: y-y₁ = m(x-x₁)

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`\rightarrow \sf y - 5 = (5)/(3) (x-3)`

slope-intercept form: y = mx + b

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`\rightarrow \sf y - 5 = (5)/(3)(x)+ (5)/(3)(-3)`

`\rightarrow \sf y - 5 = (5)/(3)(x)-5`

`\rightarrow \sf y = (5)/(3)(x)-5+5`

`\rightarrow \sf y = (5)/(3)(x)`