What is the equation of a line in slope-intercept form given a slope of 2 and a y-intercept of -4? please help

Slope intercept form: y=mx+b where m= the slope and b= the y-intercept.

y=2x-4

one answer may be to apply the Slope-intercept variety of a line. the line with slope m and y-intercept b has an equation of the variety y = mx + b you suggested you had a y-intercept of three so as which will take the situation of b in our y = mx + b equation all this is left now's to calculate the slope of the line, denoted via the letter 'm' in our equation. suggested in words you ought to declare the slope of a line is the advance over run - how lots the line rises divided via how lots it runs around the x axis. to artwork it out w/ the numbers we are going to use the factors out of your question. if the line passes by 2 on the x-axis then the coordinates for that element may be (2,0) If the line additionally passes by 3 on the y-axis then the coordinates for that element may be (0,3) each and each of those factors is only interior the form of (x,y) upward push/run .... enable's first locate out how lots the line rises in accordance with those 2 gadgets of things, (2,0) and (0,3) the advance is predicated on the distinction between the y coordinates of those 2 factors and the y values are 0 and 3 so, 0-3 = -3 (unfavorable 3) and the run is predicated on the distinction between the x coordinates or (2 and 0) 2 - 0 = 2 so the slope is -3/2 that's the value for m substituting the value for b and m into the element slope formulation we get y = ( -3/2)x + 3 that's your answer. you additionally can verify your answer via plugging in basic values for x then y. enable x = 0, then your equation turns into y = (-3/2) x 0 + 3 y = 0 + 3 y = 3 so, while x is 0, y is 3 that's strictly what you suggested it replaced into on your unique question. we are able to do the comparable factor via putting y equivalent to 0 then, y = (-3/2)x + 3 0 = (-3/2)x + 3 (3/2)x = 3 3x = 6 x = 2 that's additionally what you gave as an unique value, i.e., while y = 0 then x = 2. y = mx + b ...you will run into that one lots :)

y = mx +b is the equation to use when give the slope (m) and the y intercept (b).

So they told you m=2 and b= -4. All you have to do is plug those values into y = mx +b to get y=2x-4. Simple, don't you think?

y=2x+4

The slope intercept form

y = mx + b

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Let

2 = Slope

- 4 = y Intercept

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The equation is

y = 2x + ( - 4)

y = 2x - 4

The answer is y = 2x - 4

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y=2x-4

y=2x-4

Slope intercept form is thus:

y=mx + b

m is equal to slope

b is equal to y-intercept

Plug in your numbers

y=mx + b where mk=slope & b= y int so

y=2x-4

4th choice is correct.

The last one. y=mx+b, since m=2 and b=-4