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3 years ago

What is the y-intercept of the line represented by -2x + y = 4?

1 answer:

8 0

The line crosses the y axis (the y-intercept, where x=0) at y=4. The point (0,4). Since it is a horizontal line, y = 4 no matter what value x has. y = (2/3)x + 0 has a y-intercept of (0,0) and rises 2 values of y for every 3 value increases in x.

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Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-slope for

Bess [88]

The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

The given coordinate are (8, -1) and (2, -5).

<h3>What is the slope of an equation?</h3>

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

The slope of the equation is $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

The standard form of an equation is Ax + By = C.

The given the point-slope form is $y+1=\frac{2}{3} (x-8)$ .

Multiply each term by 3 of the equation.

$(y+1) \times3=\frac{2}{3} (x-8) \times3$

⇒3y + 3 = 2x - 16

Subtract 2x from both sides of a equation.

That is, -2x + 3y + 3 = - 16

Subtract 3 from both sides of a equation.

That is, -2x + 3y = - 19

Multiply each term by - 1 from both sides of an equation.

That is, 2x - 3y = 19

Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

To learn more about the slope visit:

brainly.com/question/3605446.

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4 0

2 years ago

954÷70 <br> and remainder

dezoksy [38]

Answer:

13 with a remainder of 44

Step-by-step explanation:

7 0

3 years ago

Tim count his friends fingers by fives. he counts the fingers on six hands. what number does he say?

Fudgin [204]

6*5= 30 fingers, so tim would say there are 30 fingers.

6 0

3 years ago

What is the answer of this equation ? 10x-6(2x+5)=20

Rudiy27

Answer:

Simplifying

x = -25

Step-by-step explanation:

Reorder the terms:

10x + -6(5 + 2x) = 20

10x + (5 * -6 + 2x * -6) = 20

10x + (-30 + -12x) = 20

Reorder the terms:

-30 + 10x + -12x = 20

Combine like terms: 10x + -12x = -2x

-30 + -2x = 20

Solving

-30 + -2x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + 30 + -2x = 20 + 30

Combine like terms: -30 + 30 = 0

0 + -2x = 20 + 30

-2x = 20 + 30

Combine like terms: 20 + 30 = 50

-2x = 50

Divide each side by '-2'.

x = -25

6 0

3 years ago

What is the equation of the line that passes through the point (-1, -7) and has a<br> slope of 2?

slava [35]

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation $b=y_1-m*x_1$ . So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

7 0

2 years ago

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What is the y-intercept of the line represented by -2x + y = 4?​

What is the y-intercept of the line represented by -2x + y = 4?