Question

Find the slope-intercept equation of the line that passes through (-4,0) and has a slope of -3

Answer 1

Slope-intercept equation

Since we're given both a point and the slope, we will use the point-slope formula (below) & simplify it to slope-intercept.

point-slope is:

• 
  `\sf{y-y_1=m(x-x_1)}`

Substitute the coordinates & the slope:

• 
  `\sf{y-0=-3(x-(-4)}`
• 
  `\sf{y=-3(x+4)}`
• 
  `\sf{y=-3x-12}` <- slope-intercept equation

Therefore, the equation is y = -3x - 12.