yiselam95
Answered

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write an inequality in slope intercept form for the graph below. ​

Write An Inequality In Slope Intercept Form For The Graph Below class=

Sagot :

first we need to find the equation of the graph
we have the points (0,4) and (2,0)
the gradient is y1-y2/x1-x2 = -2
we know the equation of any line graph is y = mx + c
we can substitute in our gradient and one of the points (i will use 0,4)
4 = -2 x 0 + c
c = 4
we now know the equation of the graph is y = -2x + 4
the graph given is drawn with a dotted line so there will be no equal sign in the inequality.
we can use the point 0,0 and test it for when y < -2x + 4
0 < -2x*0 + 4
0 < 4
this is correct so the final answer is
y < -2x + 4
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