slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5) =
= - 2
m =
Half Term 3 Open Book Assessment YEAR 8
1 answer:
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Correct answer: y = x + 2
To find out the slope, you would need to remember this slope formula: . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as
and
, and (0, 2) as
and
. Now we can plug these numbers into the slope formula to find out the slope:
m = →
→
→
To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.
y = mx + b
(3) = (3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m = and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y =
x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.
