The slope of the line

Question

The slope of the line with equation y = 7x − 6 is _______, and its y-intercept is (x,y) =(____)

Answer 1

in point slope form the general equation is y-h=m(x-k) where the y intercept is h and the slope is m

for y=7x -6, m=7=the slope and -6 = h = the y intercept or in point form (0,-6) = (x,y)

answers are: 7 and (0,-6)

another method to find the y intercept is let x=0 and substitute that into the equation

y=7x-6

y=7(0)-6

y=0-6

y=-6

x=0, y=-6 is the point (0,-6)

the y intercept always has an x coordinate of 0

If you had wanted the x intercept, you'd set y=0 and solve for x

0=7x-6

7x=6

x=6/7

that's the point (6/7, 0)

Answer 2

It’s easy with just the equation of any straight line, called a linear equation: y = mx + b,

m is the slope of the line and b is the y-intercept.

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

You were given the problem in this form. y = 7x-6.

so m is? And b is?

It’s an easy and important equation to keep in mind .