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=-4/3 x+4#

Tony B

Standard form equation: #y=mx+c#

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

#m-> "gradient"-> ("change in y")/("change in x")->(y_("end point")-y_("start point"))/(x_("end point")-x_("start point"))#

#color(blue)(m=(0-4)/(3-0) = -4/3)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#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

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

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