Question

Write an equation in slope intercept and form of the line through point(6,-1)with slope m=4

Answer 1

To solve this problem, we must first remember that slope-intercept form is y=mx + b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation.

To begin, we can take this form and substitute in the slope for the variable m.

y = mx + b

y = 4x + b

Next, because we weren't given the y-intercept, we can find it by substituting the value of 6 for x and the value of -1 for y (these values came from the ordered pair that we were given in this problem).

-1 = 4(6) + b

After that, we can begin to simplify and solve for the variable b by computing the multiplication on the right side of the equation.

-1 = 24 + b

Next, we should subtract 24 from the right side of the equation in order to get the variable b alone.

-25 = b

Now, if we substitute in this value for the variable b in our equation with the slope, we get:

y = 4x - 25

Therefore, your answer is y = 4x - 25.

Hope this helps!