Question

Please help dear one!
Which equation best represents the line?

Answer 1

Answer:

If you know the intercept form then it's very easy, because the x-intercept is -5.5

and y-intercept is +4

So, the equation of the line will straight away be

x/-5.5 + y/4 = 1

or, if you know the slope intercept form that is y=mx+c

then,

m = tan theta here it'll be positive since the angle that the line makes with the x-axis is acute and hence,

tan theta or slope(m) = 4/5.5

and also the y-intercept or c = +4

So, the equation of this line will be

y = 4/5.5 x + 4

Hope this helps you !

Answer 2

Here we can use the equation

y = mx + c

Here, m = (7-4)/(4-0) = 3/4 and

c = 4

Therefore,

$y = \frac{3}{4} x + 4 = \frac{3x + 16}{4} \\ 4y = 3x + 16 \\ 3x - 4y + 16 = 0$

Hope this is helpful to you

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