How do you find t if the slope is 5/2 and the coordinates are (-1, 4) and (4, t)?

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Answer 1 · 2016-05-24T11:43:47

$t=41/4 -> 10 1/4$

Slope (gradient) is the relationship between the change in the up/down compared to the change in along

Let point 1 be $P_1->(x_1,y_1)->(-1,4)$
Let point 2 be $P_2->(x_2,y_2)(->(4,t)$

The gradient is given as $5/2$

$("Change in y")/("Change in x")=5/2 = (y_2-y_1)/(x_2-x_1)$

So

$5/2=(t-4)/(4-(-1)) = (t-4)/5$

$5/2=(t-4)/5$

Multiply both sides by 5

$5xx5/2=(t-4)xx5/5$

But $5/5=1$

$25/2=t-4$

Add 4 to both sides

$t=25/4+4$

$t=41/4$