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Y = four-thirds x minus 10.7

a. slope =four-thirds x y-intercept is (0, 10.7)
b. slope =four-thirds y-intercept is (0, -10.7)
c. slope =four-thirds y-intercept is (0, 10.7)
d. slope = -10.7 y-intercept is four-thirds

1 Answer

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The equation
\(y = (4)/(3)x - 10.7\) has a slope of
\((4)/(3)\), signifying a change of
((4)/(3)\)) in y per unit change in x with a y-intercept of (0, -10.7).

Certainly! Let's break down the given equation
\(y = (4)/(3)x - 10.7\) to identify the slope and y-intercept.

1. **Identify the Slope m:**

- The coefficient of x in the equation represents the slope (\(m\)).

- In this case,
\(m = (4)/(3)\).

2. **Identify the Y-intercept b:**

- The constant term in the equation is the y-intercept (\(b\)).

- In this case, b = -10.7.

3. **Form the Slope-Intercept Form:**

- Write the equation in the form y = mx + b using the identified values.

- The equation is now
\(y = (4)/(3)x - 10.7\).

4. **Interpretation:**

- The slope m is the ratio of the change in \(y\) to the change in \(x\). Here, for every one-unit increase in x, y increases by
\((4)/(3).

- The y-intercept b is the point where the graph intersects the y-axis, and in this case, it is (0, -10.7).

Therefore, the correct interpretation is that the slope is \(\frac{4}{3}\), and the y-intercept is (0, -10.7).

User Plujan
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