y=10x+3 What is the slope?

Question

if you can, provide the steps.

Answer 1

The equation is already in slope-intercept form, y = mx + b
The slope is the coefficient in front of the x. That is, the "m".

In this case, your slope is 10.

Wanna know why?

When x = 0, y = 10*0 + 3 = 3
When x = 1, y = 10*1 + 3 = 13

As you go from (0,3) to (1, 13),
your x-coordinate goes up by 1
and your y-coordinate goes up by 10.

Slope = rise/run = (change in y)/(change in x)
Hence, slope is 10/1 = 10

Hope that helps!

Answer 2

This is the equation of a line in the "MX + B" format. "M" is the slope of the line, so if Y=10X + 3, the slope is "10".

The significance of the slope is it is the ratio of the change of Y and the corresponding change of X. For example, if X is 1 then Y is 13. If x is 3, then Y is now 33. The change in x was 2, since 3-1 = 2. The change in Y was 20, which is 33 - 13. The slope is (33-13)/(3-1) and this is true for any two points on the line - as long as the X and Y points are subtracted in the same order.

"B" is known as the "intercept". It is what Y equals when x=0. This is also where the line crosses the horizontal X axis. In the example above, this is "3". The slope can also be used to find the intercept. Rearranging the equation (using algebra) yields B = Y - MX. If the slope is 10 and Y=23 and X =2 then it is easy to see B = 3.

Answer 3

Explanation: The slope of the equation y=mx+c is 'm'.
Therefore the slope of the equation y=10x+3 is '10'

Answer 4

the derivate of a function provides the slope at every point.
you can get the slope of this function using the method indicated:
y=10x+3
=> dy/dx=10.
Thus the slope of the linear equation is 10

Answer 5

10

Answer 6

The slope is the type next to x; -10! Slope is calculated as substitute in y/substitute in x. additionally common as upward thrust/run; The slope here could be -10/a million; this implies it is going right down to instruments for every person unit precise. to respond to your 2d question: For linear equations (y=x), confident. in basic terms observe the 2d portion of the equation (+3 hence), which shifts the entire line up 3 instruments. It does not influence the slope, even with the shown fact that!

Answer 7

This is the equation of a linear function. The slope is simply the steepness of the line; the higher the slope, the steeper the line is going to be on a graph. In this case, the slope is 10. How did I get this? All you need to do is take the coeffecient of x(which is 10) and you have your slope.

Answer 8

The slope is 10

The slope intercept equation is in the form
y = mx + b where m is the slope and b the y intercept.

Your equation
y = 10x + 3

By definition the slope is 10 and the y intercept is 3
.

Answer 9

An equation of the type: y = mx + c is called the Slope-Intercept Form of a straight line.

Here the coefficient of 'x' i.e. 'm' is called the slope of the straight line and 'c' is called the y-intercept.

So for: y = 10x + 3, 10 is the slope as it is the coefficient of 'x',

Answer 10

There are no steps in this situation. the equation for a line is y=mx+b. y and x are the plotted points, m is the slope and b is y (axis) intersect. So your slope is 10.