Answer:
y = 1/4x + 11/4
Step-by-step explanation:
Given the slope, m = 1/4, and the point, (1, 3):
We can substitute these values into the slope-intercept form, y = mx + b, in order to solve for the y-intercept.
The y-coordinate (b) of the point, (0, <em>b </em>) is the <u>y-intercept </u>of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
y = mx + b
3 = 1/4(1) + b
3 = 1/4 + b
Subtract 1/4 from both sides:
3 - 1/4 = 1/4 - 1/4 + b
11/4 = b
The y-coordinate, b, of the y-intercept is 11/4.
Therefore, the slope-intercept form is: y = 1/4x + 11/4
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Answer: y=3x+2
Step-by-step explanation:
y=mx+b
Plug in point (x,y)-->(6,8) m=3
8=3 (6) +b
2=b
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b² )
125x³ = (5x)³ ⇒ a = 5x
343y³ = (7y)³ ⇒ b = 7y
125x³ + 343y³
= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)
= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form
