Final answer:
To convert equations from standard form to slope-intercept form, isolate the variable y on one side of the equation. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The first equation is already in slope-intercept form, while the second equation can be rearranged to match the form.
Step-by-step explanation:
To convert the equations from standard form to slope-intercept form, you need to isolate the variable y on one side of the equation.
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
For the first equation, y = -5x + 16, the slope is -5 and the y-intercept is 16. This equation is already in slope-intercept form.
For the second equation, y = -1/5x - 4, you can rearrange it to match the slope-intercept form.
Multiply both sides by 5 to get rid of the fraction: 5y = -x - 20.
Then, add x to both sides: x + 5y = -20. Finally, solve for y to get it by itself: y
= -(1/5)x - 4.