Question

Complete the equation for the standard form of the line that has an x-intercept of

–5 and a y-intercept of –4.

___ x +_________y = _________

Answer 1

4x + 5y = -20

Explanation:

If the x-int. is -5 and the y-int. is -4, then the slope is m = -4/5. Subst. -5 for x and 0 for y in y = mx + b, which leads to 0 = (-4/5)(-5) + b. Then b = -4, and the equation of this line is y = (-4/5)x - 4. We must now transform this equation into "standard form," Ax + By = C. To do this, mult. all terms of y = (-4/5)x - 4 by 5, obtaining 5y = -4x - 20. Finally, add 4x to both sides, obtaining 4x + 5y = -20, which is the desired equation in standard form.