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katen-ka-za [31]
3 years ago
10

Type the correct answer in the box. Use numerals instead of words.

Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer: The y-intercept of the line is 6

Step-by-step explanation:

The equation of the line in the form y = mx + b is called "Slope-Intercept form", where "m" is the slope of the line and "b" is the y-intercept.

Knowing that the line passes through the point (10,1) and has a slope of -0.5, we can identify that:

x=10\\y=1\\m=-0.5

Then, we can substitute values into the equation  y = mx + b and solve for "b".

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

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

Karo-lina-s [1.5K]3 years ago
7 0

Answer:

6

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.

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