Answered

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Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).

Sagot :

Answer:

y = 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )

m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line

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