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DiKsa [7]
3 years ago
10

What equation has a slope of 2 and a y intercept of -5

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

y=  2x - 5 equation has a slope of 2 and a y intercept of -5

Step-by-step explanation:

Given:

The slope  = 2

Intercept of y = -5

To Find:

The equation of the line = ?

Solution:

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

The equation of the line in the slope intercept form is

y = mx+b

where

m is the slope

b is the y intercept

Now substituting the given values we get

y  = (2)x  + (-5)

y=  2x - 5

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gtnhenbr [62]
Hey there! :) 

To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.

Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

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So, our y-intercept is 9! 

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y = mx + b

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~Hope I helped!~
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