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
