Question

I NEED THE ANSWERS TO 3, 4 and 5 PLEASEEE:))

Answer 1

So for 3 it is y=2x+2 if you plug in (1,4) it is the only one that works. For 4 the slope is always in your equation - so when you see y=10x-6 then you know slope is -6
And last to graph y=2 you just go up 2 on y axis and draw the horizontal line so that y is always 2 as x goes up and down.

Answer 2

3. (d) y = 2x + 2

4. (c) 10

5. See attachment.

Explanation:

Slope formula

`\boxed{\textsf{slope}\:(m)=(y_2-y_1)/(x_2-x_1)}`

where (x₁, y₁) and (x₂, y₂) are points on the line.

Slope-intercept form of a linear equation

`\boxed{y=mx+b}`

where m is the slope and b is the y-intercept.

Question 3

Given points on the line:

• (x₁, y₁) = (1, 4)
• (x₂, y₂) = (-2, -2)

Substitute the given points into the slope formula to find the slope, m:

`\implies \textsf{slope}\:(m)=(-2-4)/(-2-1)=(-6)/(-3)=2`

Substitute the found slope and one of the points into the slope-intercept equation and solve for b:

`\implies 4=2(1)+b`

`\implies b=2`

Therefore, the equation of the line is:

`\boxed{y=2x+2}`

Question 4

Given equation:

`y=10x-6`

Upon comparing the given equation with the slope-intercept formula, the slope of the given line is:
`\boxed{10}`

Question 5

The equation y = 2 means that y is 2 for all values of x.

Therefore, to graph y = 2, draw a straight, horizontal line at y = 2.

(See attached graph).