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a linear function passes through the points (10,5) and (-15, -5). a second function is represented by the equation 4x-3y= 6 what is the y-intercept of the function with the greater rate of change HELP DUE IN 5

Sagot :

Answer:

y=mx+b

i believe its 4x

Step-by-step explanation:

Answer:

-2 is y-intercept

Step-by-step explanation:

If a linear function passes through the points (10,5) and (-15,-5), then the slope of it must be 2/5.

This is because the formula to find slope is  (y2-y1 / x2-x1), which in this case, when the values are input, equal to 2/5.

When finding the slope of 4x-3y=6, we need to rewrite the equation in slope-intercept form, causing the original equation to become y=4/3x-2. In this case, 4/3x symbolizes the slope (4/3).

Seeing as 4/3 > 2/5, we will consider the y-intercept of 4x-3y=6 as the correct answer.

Subsitute x for 0:

4(0)-3y=6

= -3y=6

Divide both sides by -3:

-3y/3 = 6/-3

= (y = -2)

Therefore, the correct answer is -2, the y-intercept of the equation 4x-3y=6.

-Greg