Answer:
Step-by-step explanation:
a, what is the equation of the line that goes through these points in Slope-intercept Form?
If two lines are parallel, their slopes are equal. Thus the new line has the same slope as does the old one: m = -3. We adapt the slope-intercept form y = mx + b to 5 = (-3)(2) + b and find that b = -11. Then the desired equation is y = -3x - 11. This is in slope-intercept form.
b. What is the x-intercept? Start with the above y = -3x - 11. Set y = 0 and solve the result, 0 = -3x - 11, for x: x = -11/3. Then the x-intercept is (-11/3, 0); this is the point at which the graph crosses the x-axis.
c. What is the y-intercept: Set x = 0 in the above equation. We get y = -11.
The y-intercept is thus (0, -11).
