Question

How do you find the slope for $ y = 2x + 5 $ ?

Answer 1

Hint: In this question, we are provided with an equation in two variables. It is a straight-line equation, to plot this equation on the graph we need to firstly convert the equation into a slope intercept form. Now, finding the slope and the y-intercept. And slope of a line defines the steepness of the line.
The standard form of a linear equation in a slope-intercept form is:
 $ y = mx + b $ where m is the slope of the line and b is the y-intercept of the line. Y-intercept is defined as a line or the curve passing through the y-axis.

Complete step-by-step answer:
Given equation is $ y = 2x + 5 $
Comparing this equation with the equation written in the formula used section
given as $ y = mx + b $
Slope $ m = 2 $
And y-intercept $ b = 5 $
Hence, one point can be taken as $ \left( {0,5} \right) $ .
And we know,
$ m = \dfrac{{coeff\left( x \right)}}{{coeff\left( y \right)}} = \dfrac{{run}}{{rise}} $
Which is another way of finding the slope.
So, the correct answer is “$ m = 2 $ and $ b = 5 $ ”.

Note: Please choose the points carefully. And after finding the points. Check the respective points in the given equation to make sure the points are correctly calculated or not. When slope is negative, the line falls from left to right on the graph.