A line passes through the point (2, 8) and has a slope of 3. a. What is the y-intercept of the line?
b. What is the x-intercept of the line?
c. Write an equation for the line in slope-intercept form.

a. 2

b.

c. y=3x+2

Step-by-step explanation:

a. The y-intercept of the line can be found by using slope intercept form, the given slope, and the given point.

Slope intercept form: y=mx+b

Rearranging for b:

b=y-mx

b=8-3*2=8-6=2

So the y-intercept is 2.

b. The x intercept is found where the function crosses the x-axis. At this point, the y-coordinate will be zero. To find this value, rearrange slope intercept form to solve for x and use y=0 for y in the equation along with the given slope and calculated y-intercept.

Rearranged slope intercept form:

y=mx+b

y-b=mx

c. The equation for the line in slope intercept form will use the given slope, and the calculated y-intercept.

y=mx+b

y=3x+2

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: