Graph the inequality:Y>-x+3I would very much appreciate the help :)

Mathematics

1 answer:

Semmy [17]3 years ago

5 0

Answer:

See attached picture.

Step-by-step explanation:

To graph the inequality, use the y = mx + b form for linear equations. Here y > -x + 3 has slope of -1 and y-intercept of 3. Plot a point at (0,3) and move down 1 unit and 1 unit to the right. Plot a new point at (1,2). Connect the points with a dashed line. A dashed line is used for all inequalities which are not equal to. Finally, shade one side of the line. To determine which side, test a point not on the line. Shade the side which makes the inequality true.

y > -x + 3 test (0,0)

0 > -0 + 3

0 > 3 is false

Shade the side that does not have (0,0).

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What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Aleks [24]

Answer:

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}$

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$y - y_1 = m[x - x_1]$