Question

Transform the following equation s into (a) slope intercept form 3x+4y=5

Answer 1

Answer:

$y=\frac{-3}{4}x+ \frac{5}{4}$  is the slope-intercept form of $3x+4y=5$.

Step-by-step explanation:

The slope-intercept form of a line is

$y=mx+c$

with slope $m$ and $y$-intercept $c$

The equation of the given line is,

$3x+4y=5$

We need to rearrange the above equation into slope-intercept form.

Subtracting $3x$ from both sides of the equation, we get

$4y=5-3x$

Now divide the whole equation by 4.

$\implies y=\dfrac{5-3x}{4}\\\\\implies y=\dfrac{-3x+5}{4}\\\\\implies y= \dfrac{-3}{4}x+ \dfrac{5}{4}$

Which is of slope-intercept form, where the slope of the line is $\frac{-3}{4}$ and y-intercept is $\frac{5}{4}$ .