Question

What is the equation of the line that passes through (-3,-1 ) and has a slope of 3/5

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

We have the point (-3, -1) and the slope m = 3/5. Substitute:

`y-(-1)=(3)/(5)(x-(-3))\\\\y+1=(3)/(5)(x+3)\qquad\text{use distributive property}\\\\y+1=(3)/(5)x+(9)/(5)\qqua\text{subtract 1 from both sides}\\\\y=(3)/(5)x+(4)/(5)\qquad\text{multiply both sides by 5}\\\\5y=3x+4\qquad\text{subtract 3x from both sides}\\\\-3x+5y=4\qquad\text{change the signs}\\\\3x-5y=-4`

Answer:

point-slope form: y + 1 = 3/5(x + 3)

slope-intercept form: y = 3/5x + 4/5

standard form: 3x - 5y = -4