Question

A new graph is formed from y = 5x by changing the slope to 9 and y-intercept to 8. Which statement about the new relationship is true?
The new graph has a steeper slope and a y-intercept of 13.

The new graph has a steeper slope and y-intercept of 8.

The new graph has a less steep slope and a y-intercept of 13

The new graph has a less steep slope and a y-intercept of 8

Answer 1

Answer:

The new graph has a steeper slope and a y-intercept of 8.

Step-by-step explanation:

From Analytical Geometry, we define a straight line by following first order polynomial (linear function):

$y = m\cdot x + b$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$b$ - y-Intercept.

$m$ - Slope.

And the slope represents the change in dependent variable ($\Delta y$) divided by the change in independent variable ($\Delta x$). That is:

$m = \frac{\Delta y}{\Delta x}$

If $m_{1} > 0$ and $m_{2} > m_{1}$, then the new line is steeper with respect to the original line.

Let $y = 5\cdot x$, its slope and y-intercept are 5 and 0, respectively. If slope is changed into 9 and y-intercept becomes 8, then the new graph has a steeper slope and a y-intercept of 8.