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Rzqust [24]
2 years ago
13

Write in slope-intercept form an equation of a line that passes through the point (-2, 7) and m= -4.

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

Answer:

y = -4x - 1

Step-by-step explanation:

We are given the slope and a point.

Point Slope is :

y-y_1=m(x-x_1)

Replace the variables with the appropriate values:

y-y_1=m(x-x_1) \rightarrow\boxed{y-7=-4(x+2)}

Convert to slope-intercept form:

y-7=-4(x+2)\\\\y-7=-4x-8\\\\y-7+7=-4x-8+7\\\\\boxed{y=-4x-1}

Hope this helps!

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mario62 [17]

Answer:

2.4274

Step-by-step explanation:

This is just a simple multiplication problem.

One way to do this is by converting both decimals into fractions:

1.06 = 1 + 0.06 = 1 + 6/100 = 1 + 3/50 = 53/50

2.29 = 2 + 0.29 = 2 + 29/100 = 229/100

Multiplying these two fractions, we get:

\frac{53}{50} *\frac{229}{100} =\frac{12137}{5000}

Now, we can just convert this into a decimal by using a calculator:

12137/5000 = 2.4274, which is our answer.

Of course, you could just put the numbers in a calculator, which would be much less time-consuming.

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3 years ago
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Answer:

B, D, and E.

Step-by-step explanation:

A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.

B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.

C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).

D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.

E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.

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Answer:

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Step-by-step explanation:

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