Answered

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Write the equation of a line, in slope-intercept form, that has an y-intercept of 4 and an
x-intercept of -2.

Sagot :

Answer:

y = 2x + 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 ) = (- 2, 0) and (x₂, y₂ ) = (0, 4) ← coordinates of intercepts

m = [tex]\frac{4-0}{0+2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 and c = 4

y = 2x + 4 ← equation of line

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