08.11.2022

A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is?

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Mathematics

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is

Step-by-step answer

P Answered by Specialist

b=-18

Step-by-step explanation:

If a line that passes through the point P(x_o,y_o) and it has slope , the equation of the line is:

$y-y_o=m(x-x_o)~=y=mx+y_o-mx_o~=b=y_o-mx_o\\\\b=-6-4(3)=-18$

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represe

Mathematics

Type the correct answer in the box. Use numerals instead of words. A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is. HELP

Step-by-step answer

P Answered by Specialist

y = -.05x + 6

Step-by-step explanation:

Plug in your x and y coordinates

1 = -.05(10) + b

1 = -5 + b

6 = b

Mathematics

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is ?

Step-by-step answer

P Answered by PhD

$\displaystyle [0, 6]$

Step-by-step explanation:

$\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6]$

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Mathematics

type the correct answer in the box. use numerals instead of words. a line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. a line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. the y-intercept of the line is . reset next

Step-by-step answer

P Answered by PhD

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b .

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

y=-0.5x+b

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

$1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6$

and the equation of the line is

y=-0.5x+6

Since b=6, the y-intercept of the line is 6.

Mathematics

Aline that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. a line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. the y-intercept of the line is .

Step-by-step answer

P Answered by PhD

the answer is shown and pictured

y int is (0,6)

Aline that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represen

StudenGPT

Step-by-step answer

P Answered by Studen AI

To find the y-intercept of the given line, we can use the equation for a line: y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the line passes through the point (10,1) and has a slope of -0.5, we can substitute these values into the equation:

1 = -0.5(10) + b

Now, let's solve for b by simplifying the equation step by step:

1 = -5 + b (multiplying -0.5 by 10 results in -5)
1 + 5 = b (adding 5 to both sides of the equation)
6 = b

Therefore, the y-intercept of the line is 6.

Let's verify our answer by substituting the values of b and the slope (-0.5) into the equation for a line:

y = -0.5x + 6

Now, let's substitute the given point (10,1) into the equation:

1 = -0.5(10) + 6
1 = -5 + 6
1 = 1

The equation holds true, which confirms that our answer for the y-intercept is correct.

Mathematics

Type the correct answer in the box. use numerals instead of words. a line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. a line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. the y-intercept of the line is?

Step-by-step answer

P Answered by Specialist

The y-intercept of the line is -6.

Step-by-step explanation:

Put 4x-6 into y= on the graphing calculator and the point (3,-6) is in the table.

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD

The answer is in the image