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
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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 .

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

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

and the equation of the line is

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

The y-intercept of the line is 6

Step-by-step explanation:

The equation of the line in the form 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:

Then, we can substitute values into the equation   and solve for "b".

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

(a) the volume of the cone is 20/3 in3

hence, option a is correct.