Question

Which linear equation would produce a y-intercept of (0, -4) and a slope of -2?

Answer 1

Slope intercept

Slope-intercept is the most common way of writing the equation of a straight line.

The format of slope-intercept is y = mx + b, where m = slope and b = y-intercept.

Graph:

`\setlength{\unitlength}{1.8mm}\begin{picture}(10,10)\linethickness{0.3mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(-2,0){18}}\put(20,20){\vector(0,2){18}}\put(20,20){\vector(0,-2){18}}\multiput(19.35,6)(0,2){16}{\line(1,1){1}}\multiput(6,18.35)(2,0){16}{\line(1,1){1}}\put(20,20){\circle*{0.1}}\qbezier(20,20)(20,20)(34, 35) \qbezier(8,5)(8,5)(20.8, 20.9)\end{picture}`

Since the y-intercept is given as (0,-4), I'll use -4 for b.

So the equation is:

y = -2x - 4

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Answer 2

y = -2x - 4

Explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept

We Know

m = -2

y-intercept is at (0, - 4)

So, the linear equation will be y = -2x - 4