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

1 Answer
Jan 16, 2016

y=-4/3 x+4y=43x+4

Explanation:

Tony B

Standard form equation: y=mx+cy=mx+c

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

m-> "gradient"-> ("change in y")/("change in x")->(y_("end point")-y_("start point"))/(x_("end point")-x_("start point"))mgradientchange in ychange in xyend pointystart pointxend pointxstart point

color(blue)(m=(0-4)/(3-0) = -4/3)m=0430=43
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color(blue)("To find the value of the constant c")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

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

y=mx+c ->color(blue)( y= -4/3x+4)y=mx+cy=43x+4