Question

What is the slope of the line created by this equation?Round your answer out to two decimal places.3x+5y=7

Answer 1

The given equation is

$3x+5y=7$

Consider the slope-intercept form.

$y=mx+b$

Rewriting the given equation in the slope-intercept form.

$3x+5y=7$

Subtracting 3x from both sides, we get

$3x+5y-3x=7-3x$

Dividing both sides by 5, we get

$\frac{5y}{5}=\frac{7-3x}{5}$$y=-\frac{3}{5}x+\frac{7}{5}$

$y=-0.6x+1.4$

Compared to the slope-intercept form, we get m=-0.6 and b=1.4.

Hence the slope m= -0.60.