Write an equation in slope-intercept form for the line that satisfies the following condition. x-intercept 8, and y-intercept 12

So in the question we are given the points: (8,0) and (0,12)

In order to find the slope, we use the equation:

where subscripts 1 and 2 can apply to either of the points as long as they remain consistent. Let's use subscript 1 for the point (8,0) and subscript 2 for the point (0,12):

So now we know the slope of the equation is .

The slope-intercept form of a line follows the form:

where x and y are from a given point on the line, m is the slope of the line, and b is the y-intercept of the line.

So since we are told the y-intercept in the question, we can then plug in the numbers to the equation for the line:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.