Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
First, we could determine the slope (<em>m</em>). The slope is the 
of the line, or the number of units it travels up over the number of units it travels to the right.
Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:
Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.
The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:
I hope this helps!
Answer:
2x² - 11x + 15
Step-by-step explanation:
Find the area of the rectangle by multiplying the length and width together, using FOIL
(2x - 5)(x - 3)
Multiply the first terms:
(2x)(x) = 2x²
Multiply the first term in the parentheses by the last term in the second set of parentheses:
(2x)(-3) = -6x
Multiply the second term in the first set of parentheses by the first term in the second set:
(-5)(x) = -5x
Multiply the last terms:
(-5)(-3) = 15
Add these all together, then add like terms
2x² - 6x - 5x + 15
2x² - 11x + 15
So, the area of the rectangle is 2x² - 11x + 15
Answer:
The x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).
Join those two points with a straight line and get the graph.
Step-by-step explanation:
The intercept form of a straight line equation is 
, where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).
So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.
Given equation is x + y = 2
⇒ 
Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).
Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)
