Question

Sometimes the quickest and easiest two points to use to graph a line that is not in slope-intercept form are the cc- and y-intercepts. Determine the s- and y-intercepts for the two lines below and then use them to graph each line. Write the coordinates of the c- and y-intercepts on your graph.
a.x - 2y = 4

b.3x + 6y = 24

First to answer gets brianlyest

Answer 1

The coordinates of the c- and y-intercepts on graph of different equations are y-intercept is -2 and y-intercept is 4.

b) y-intercept is 4 and y-intercept is 8.

y-intercept is the value of variable y we get, when we put value of variable x equal to 0 into the equation. Similarly, x-intercept is the value of variable x we get, when we put value of variable y equal to 0 into the equation.

Finding the y-intercept

x−2y = 4

(0) −2y = 4

y = $\frac{4}{-2}$

y = -2

Therefore, y-intercept is -2, and the point is (0,-2)(0,−2)

Now, finding the x-intercept

$x-2y&=4\\ (x)-2(0)&=4\\ x&=4 \end{align*}$

Therefore, x-intercept is 4, and the point is (4,0)(4,0)

Finding the y-intercept

$\begin{align*} 3x+6y &=24\\ 3(0)+6y &=24\\ y&=\dfrac{24}{6}\\ y&=4 \end{align*}$3x+6y = 24

3(0)+6y = 24

y= $\frac{24}{6}$

y =4

Therefore, y-intercept is 4, and the point is (0,4)(0,4)

Now, finding the xx-intercept

3x+6y = 24

3x+6(0) = 24

x = 8

Therefore, x-intercept is 4, and the point is (8,0)(8,0) .

The c- and y-intercepts on the graphs of various equations have the coordinates y-intercept = -2 and y-intercept = 4. The y-intercepts are 4 and 8, respectively.

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