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):
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - y-Intercept.
[tex]m[/tex] - Slope.
And the slope represents the change in dependent variable ([tex]\Delta y[/tex]) divided by the change in independent variable ([tex]\Delta x[/tex]). That is:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
If [tex]m_{1} > 0[/tex] and [tex]m_{2} > m_{1}[/tex], then the new line is steeper with respect to the original line.
Let [tex]y = 5\cdot x[/tex], 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.
