Graph a line with a slope of -3 that contains the points (4,-2)

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

3 0

Answer:

see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

y +2 = -3(x -4)

y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

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$1\frac{1}{9}$

Step-by-step explanation:

Given the following question:

$1\frac{2}{3} \times\frac{2}{3}$

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

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<u>Convert the improper fraction into a mixed number:</u>

$\frac{10}{9}$
$\frac{10}{9} =10\div9=1\frac{1}{9}$
$=1\frac{1}{9}$

Your answer is "1 1/9."

Hope this helps.