What is the standard form of the line that has x-intercept 6 and y-intercept -2

Step-by-step explanation:

The Standard Form of an equation of a line:

We have the x-intercept and the y-intercept

x-intercept is for y = 0

y-intercept is for x = 0

Therefore we have two points: (6, 0) and (0, -2).

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

The formula of a slope:

Calculate the slope:

Put it and the value of y-intercept b = -2 to the equation of a line:

Convert to the standard form:

           multiply both sides by (-3)

           add x to both sides

1e+27

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4