18 pts! from the equation below, identify the slope and a point on the line. y−3=−2(x+1)

ANSWER:  

The slope of the given equation is -2 and a point on the given line is (-1, 3)

SOLUTION:

Given, linear equation in two variables is y – 3 = -2(x + 1) ----- eqn (1)

We need to find the slope of the given equation and a point through which the given line passes.

Given equation is in the form of point slope form  .i.e --- eqn 2

where,"m" is the slope of the line

is point on that line.

Now, by comparing (1) and (2)

m = -2

so, the slope of the given equation is -2  and a point on the given line is (-1, 3)

slope: − 2

y-intercept: ( 0 , 1 )

x y 0 1 1 − 1

Step-by-step explanation: Graph the line using the slope and y-intercept, or two points.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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