Question

Y=-7/3x+5/2 what is they slope

Answer 1

Answer: -4.667/2.000 = -2.333

Explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(-7/3*x+5/2)=0

Simplify
`(5)/(2)`

Equation at the end of step : y - ((0 - (
`(7)/(3)` • x)) +
`(5)/(2)`) = 0

The left denominator is : 3 The right denominator is : 2

Least Common Multiple: 6

y -
`((15-14x))/(6)` = 0

y • 6 -
`((15-14x))/(6)`
`(6y + 14x - 15)/(6)`

`( 6y + 14x - 15)/(6)`

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is -2.167. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.167 - 2.500 = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.667/2.000 = -2.333

x-intercept = 15/14 = 1.07143

y-intercept = 15/6 = 5/2 = 2.50000