Quarter x plus eighteen equals x

2 answers:

7 0

(1/4)x + 18 = x

Lets start off by subtracting (1/4)x from each side. We are now left with 18= (3/4)x.

We can now divide each side by 3/4 or multiply by the reciprocal (4/3) to find our answer, which is 24.

Jet001 [13]3 years ago

3 0

Lets write as an equation:
x/4 + 18 = x
to get rid of fraction lets multiply the whole equation by 4:
x + 4*18 = 4x
x + 72 = 4x
3x = 72
x = 72/3
x = 24
that is the solution

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Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s

Lilit [14]

Answer:

$y-2=\displaystyle -\frac{3}{4}(x-1)$

$y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a given point

Given that the slope is -3/4, we can plug it into $y-y_1=m(x-x_1)$ as m:

$y-y_1=\displaystyle -\frac{3}{4}(x-x_1)$

We can also plug in the given point (1,2):

$y-2=\displaystyle -\frac{3}{4}(x-1)$

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$