The graph of the relation y = mx + 35 passes through the point (8,–77). Determine the value Of m.
I understand how to find the y intercept when given slope and a point, but i can't seem to find the slope given the graph of the relation and one point.
This is how i initially tried to solve the question:
Y-intercept= 35
Point (8, -77) -77 = mx (8) + 35
-77 = mx (8) + 35
8mx + 35 = -77
8mx + 35 + - 35 = -77 + -35
8mx= - 112
8 mx / 8x = -112 / 8x
M = -14 / x
$\endgroup$ 13 Answers
$\begingroup$Hint:
If the line passes through the point $(8,-77)$ this means that the coordinates $x=8$ and $y=-77$ verifies the equation $ y=mx +35$, so you have: $$ -77=8m+35 $$ now solve for $m$ and you have the slope.
$\endgroup$ $\begingroup$Just plug the given point into the equation, getting$-77=8m+35$ and solve.
$\endgroup$ $\begingroup$Given 2 points, can you find the slope?
hint: $$\text{slope} = m = \frac{\Delta y}{\Delta x}$$
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