Question

Determine the slope m and y-intercept (if possible) of the linear equation. (if the slope is undefined, enter undefined. enter none if there is no y-intercept.) 2x + 5y = 1

Answer 1

• Slope-intercept form: $y=mx+b$ , with m = slope and b = y-intercept.

So the best method to find the slope and y-intercept of this equation is to convert this standard form equation into slope-intercept form. Firstly, subtract 2x on both sides: $5y=-2x+1$

Next, divide both sides by 5, and your slope-intercept form is: $y=-\frac{2}{5}x+\frac{1}{5}\ \textsf{or}\ y=-0.4x+0.2$

Looking at the slope-intercept form, your slope is $-\frac{2}{5}\ \textsf{or}\ -0.4$ and your y-intercept is $\frac{1}{5}\ \textsf{or}\ 0.2$