Question

The equation of the line $y=\frac{2}{3}x-1$, passes through

• A. $(0,1.5)$ and slope, $m=\frac{2}{3}$
• B. $(1.5,0)$ and slope, $m=\frac{2}{3}$
• C. $(0,1.5)$ and slope, $m=-\frac{2}{3}$
• D. $(1.5,0)$ and slope, $m=-\frac{2}{3}$

Answer 1

The correct option is B $(1.5,0)$ and slope, $m=\frac{2}{3}$

The given equation is $y=\frac{2}{3}x-1$

Here $x$ is the independent variable.

We know that equation of line in slope form is:

$y=mx+c$

Where, $m$ is the slope of the line

Comparing with the given line, we get

Slope, $m=\frac{2}{3}$

Now substituting $x=0$, we get $y=-1$

Substituting $x=1.5$, we get $y=0$

Hence, the give line passes through $(1.5,0)$ and have slope $\frac{2}{3}$

Hence, option B.