1. write the slope-intercept form of the equation of each line given the slope and y-intercept.
a. slope= 5, y-intercept= -3

b. slope= -1, y-intercept= 5

2. write the point-slope form of the equation of the line through the given point with the given slope.
a. point= (5,3), slope= 4/5

b. point= (-3,-2), slope= -2/3

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.