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Ksivusya [100]
2 years ago
10

Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLI

EST
Mathematics
1 answer:
Elanso [62]2 years ago
3 0

Answer:

Step-by-step explanation:

Since we know the line goes through points (8,9) and (2,4), we can construct a line in slope-intercept form

y = mx + b

where m is the slope and b is the Y-intercept.

The slope can be found using the two points provided:

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{9 - 4}{8 - 2}

\frac{5}{6}

The line is now represented as

y = \frac{5}{6}x + b

To solve for b, we can plug in one of the two points:

y = \frac{5}{6}x + b

(9) = \frac{5}{6}(8) + b

4 = \frac{20}{3} + b

b = \frac{-8}{3}

We know have our line:

y = \frac{5}{6}x - \frac{8}{3}

To determine if the point (-4, 3) falls on this line, we just plug the numbers into the equation and see if it holds true:

y = \frac{5}{6}x - \frac{8}{3}

(3) = \frac{5}{6}(-4) - \frac{8}{3}

3 = \frac{-10}{3} - \frac{8}{3}

3 = \frac{-18}{3}

3 = -6

This does not hold true, so the point is not on the line.

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