Question

7. What is the slope in the equation y=-6x+4?

8. What is the y-intercept in the equation y=x-5

9. Write the equation in slope intercept form. 2x+4y=12

10. Write the equation in slope intercept form. X-3y=6

Answer 1

7. The slope is the number with the x next to it, so it would be -6x

8. The y-Intercept is the number WITHOUT the x, in this case would be -5

9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3

10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!