Question

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

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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$\rightarrow \sf y - 5 = \dfrac{5}{3} (x-3)$

slope-intercept form: y = mx + b

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$\rightarrow \sf y - 5 = \dfrac{5}{3}(x)+ \dfrac{5}{3}(-3)$

$\rightarrow \sf y - 5 = \dfrac{5}{3}(x)-5$

$\rightarrow \sf y = \dfrac{5}{3}(x)-5+5$

$\rightarrow \sf y = \dfrac{5}{3}(x)$