Question

Write an equation of the line that passes through (-5,0) and is parallel to the line y=-4/5x-1

Answer 1

y = -⅘x - 4

Explanation:

. So your point is an x-intercept. It happens at times. Alright. Now, we have to know that parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so we keep the -⅘. Moving forward, we simply plug the coordinate into the Slope-Intercept Formula, y = mx + b --> 0 = -⅘[-5] + b. From this, we can see that our y-intercept is [0, -4], so our parallel line is y = -⅘x - 4. Do you understand?