How do you write the linear function whose x intercept a and y intercept b are given: a=3 b=4?

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How do you write the linear function whose x intercept a and y intercept b are given: a=3 b=4?

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Answer 1 · 2016-01-16T21:30:02

$y = - \frac{4}{3} x + 4$ $y=-4/3 x+4$

Explanation:

Tony B

Standard form equation: $y = m x + c$ $y=mx+c$

$To find the gradient$ $color(blue)("To find the gradient")$

$m \to gradient \to \frac{change in y}{change in x} \to \frac{y_{end point} - y_{start point}}{x_{end point} - x_{start point}}$ $m-> "gradient"-> ("change in y")/("change in x")->(y_("end point")-y_("start point"))/(x_("end point")-x_("start point"))$

$m = \frac{0 - 4}{3 - 0} = - \frac{4}{3}$ $color(blue)(m=(0-4)/(3-0) = -4/3)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$To find the value of the constant c$ $color(blue)("To find the value of the constant c")$

They told us what it is in the question!
It is where the plotted line crosses the y-axis and they said that the y intercept =b = 4

$c = 4$ $color(blue)(c=4)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Putting it all together$ $color(blue)("Putting it all together")$

$y = m x + c \to y = - \frac{4}{3} x + 4$ $y=mx+c ->color(blue)( y= -4/3x+4)$

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How do you write the linear function whose x intercept a and y intercept b are given: a=3 b=4?

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Explanation:

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