Question

Y = -3x + 2

A line goes through the point (2,5) and is parallel to the line above, answer the
following:
a, what is the equation of the line that goes through these points in Slope-i
Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept

Answer 1

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).