Answer:
<h2>b = -9</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
The formula of a slope:
We have the points M(4, 3) and N(7, 12). Substitute:
Therefore we have the equation:
Put the coordinates of the point M to the equation:
<em>subtract 12 from both sides</em>
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the first equation:
You can identify that:
By definition, the line intersects the x-axis when . Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:
Now you can graph it.
Solve for "y" from the second equation:
You can identify that:
Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has<u> Infinitely many solutions.</u>
See the graph attached.
