Question

Include working out please

Answer 1

y=3x+4

Explanation:

The formula used is point slope, or y=mx+b

here, the m is the slope, and the b is the y-intercept

The y-intercept is where the graph crosses the y-axis, also known as when x=0

In this case, the y intercept is at the point (0,4) so you'd plug in 4 for the 'b' in the equation

To find the slope, use the rise over the run of the graph.

To do this, pick two points along the graph, and count how many units up/down, and to the left/right between the two points

The units up/down goes on top, being positive if they're up, and negative if they're down

The units left/right go on bottom, being positive if they're right, and negative if they're left

In this case you go 3 units up, and 1 unit right, so the slope would be 3/1 or 3

Answer 2

y = 3x + 4

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 2, - 2) ← 2 points on the line

m =
`(-2-4)/(-2-0)` =
`(-6)/(-2)` = 3

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line