AQA · Mathematics · 8300
GCSE Maths: Linear graphs: (across one method)
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Linear graphs: (across one method) (Corbettmaths Video 188), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
16 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
In the line equation y = mx + c, the letter ? represents the gradient.
Show answer
m
In the line equation y = mx + c, the letter ? represents the y-intercept.
Show answer
c
What is the gradient of the line y = 3x + 1?
Show answer
3
What is the equation of a line with gradient 3 and y-intercept 6?
Show answer
y = 3x + 6
Where does a line that passes through the origin with gradient -5 cross the y-axis?
Show answer
At (0, 0). The y-intercept is 0 because the line passes through the origin.
How do you check if a point lies on a given line?
Show answer
Substitute the x and y coordinates into the equation. If the equation is satisfied, the point lies on the line.
To rearrange the equation x + y = 10 into the form y = mx + c, what is the result?
Show answer
y = -x + 10
Where does a line cross the x-axis?
Show answer
At the point where y = 0.
What is the gradient of the line y = 3 - 4x?
Show answer
-4
For the line equation 3x + y = 15, what is the gradient?
Show answer
-3. Rearrange to y = -3x + 15 to see the gradient.
For the line equation 3x + y = 15, where does it cross the y-axis?
Show answer
(0, 15) or y = 15
How do you find the gradient of a line passing through two points (x₁, y₁) and (x₂, y₂)?
Show answer
m = (y₂ − y₁) / (x₂ − x₁)
What is the general form of the equation of a line with gradient m passing through point (x₁, y₁)?
Show answer
y − y₁ = m(x − x₁), which can be rearranged to y = mx + c form.
To find where a line crosses the y-axis, what value should you substitute for x?
Show answer
x = 0. The y-intercept occurs where x = 0.
How do you rearrange ax + by = c into y = mx + c form?
Show answer
Isolate y: subtract ax from both sides to get by = −ax + c, then divide everything by b to get y = (−a/b)x + (c/b).
What is the midpoint of a line segment joining points (x₁, y₁) and (x₂, y₂)?
Show answer
((x₁ + x₂)/2, (y₁ + y₂)/2)
Want to create your own cards? Create a free account. AI generation uses credits.