Question

How do you find a standard form equation for the line with Slope 5; through (-3, -9)?

Answer 1

y = 5x + 6

Explanation:

The equation of a line in `color(blue)" slope-intercept form ""is"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b, the y-intercept.

here the slope is 5 and so the partial equation is y = 5x + b

To find b , substitute (-3 ,-9) into the partial equation.

x = -3 , y = -9: hence -9 = 5(-3) + b → -9 = - 15 + b → b = 6

Thus the equation is y = 5x + 6