What are the intercepts of the line $y = \frac{9}{2} x - 4$ $y=9/2x - 4$ ?

Question

3260 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-09T06:19:45

The y-intercept for the given line is $(0, - 4)$ $(0,-4)$ .

The x-intercept is $(\frac{8}{9}, 0)$ $(8/9,0)$ or $(0.889, 0)$ $(0.889,0)$ .

Find the intercepts:

$y = \frac{9}{2} x - 4$ $y=9/2x-4$

This is a linear equation in slope-intercept form:

$y = m x + b$ $y=mx+b$ ,

where:

$m$ $m$ is the slope $(\frac{9}{2})$ $(9/2)$ and $b$ $b$ is the y-intercept $(- 4)$ $(-4)$ .

Y-intercept: value of $y$ $y$ when $x = 0$ $x=0$ .

By definition, the y-intercept for the given line is $(0, - 4)$ $(0,-4)$ .

X-intercept: value of $x$ $x$ when $y = 0$ $y=0$ .

Substitute $0$ $0$ for $y$ $y$ and solve for $x$ $x$ .

$0 = \frac{9}{2} x - 4$ $0=9/2x-4$

Add $4$ $4$ to both sides.

$4 = \frac{9}{2} x$ $4=9/2x$

Multiply both sides by $2$ $2$ .

$8 = 9 x$ $8=9x$

Divide both sides by $9$ $9$ .

$\frac{8}{9} = x$ $8/9=x$

The x-intercept is $(\frac{8}{9}, 0)$ $(8/9,0)$ or $(0.889, 0)$ $(0.889,0)$ .

You can graph the given line by plotting the x- and y-intercepts and drawing a straight line through them.

graph{y=9/2x-4 [-9.77, 10.23, -7.61, 2.39]}

What are the intercepts of the line y=92x−4y=9/2x - 4?