What is the gradient and y axis intercept of #y = 5x + 6#?

3 Answers
Sep 14, 2017

See a solution process below:

Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

#y = color(red)(5)x + color(blue)(6)#

Therefore the slope is: #color(red)(m = 5)#

Sep 14, 2017

#m=5#

Explanation:

The equation the line is written in the form #y=mx+b# where #m# is the slope. With that being said the slope of the line in these equation is #5#.

Another way to think about it is that the slope is the leading coefficient in the equation or it is the number in front of the variable #x#.

Sep 14, 2017

5

Explanation:

When the equation of a line is in the form:

#y = mx + c#

#m# is the gradient (slope).

#c# is the #y# axis intercept.

so in the example #m = 5# and #c = 6#