Question

How do you find the slope for \[y=-7x-2\] ?

Answer 1

Hint: First of all we need to understand that these types of problems are of coordinate geometry and they are very easy to solve. The sub topic of this problem is straight lines. In such types of problems, we first need to write the general form of the equation and then compare the values with the original given equation, to find our required answer. The general form of a straight line is expressed as \[y=mx+c\] . Here \[m\]is defined as the slope of the line and \[c\] is defined as the y-intercept, which is nothing but the value of \[y\] at \[x=0\].

Complete step-by-step answer:
Now, we start off with the solution by writing the general form of the equation, that is,
\[y=mx+c\], . Here \[m\]is defined as the slope of the line and \[c\] is defined as the y-intercept.
Now, if we compare this general equation with our problem equation, we will see that our value of slope for this problem is,
\[m=-7\] . We write the slope of a line as \[\tan \theta \] , hence we can also write that \[\tan \theta =-7\].

Note: We can do these types of problems by another method also. We can use a graph paper and we can plot the given straight line. After plotting, we use a protractor and measure the angle the line makes with the x-axis. We must remember that while measuring the required angle, we must take the anti-clockwise direction as the positive angle. After we have measured the angle we have to find the tangent of this angle. The tangent of this angle gives us our required answer.