Question

Can I please have answers to this question

Answer 1

6. Slope = 2

7. y-intercept = 5

8. Equation: y = 2x + 5

Explanation:

Question 6

To find the slope of a line, define two points on the line:

• (x₁, y₁) = (0, 5)
• (x₂, y₂) = (1, 7)

Substitute these values into the slope formula and solve for m:

`\implies \textsf{slope}\:(m)=(7-5)/(1-0)= (2)/(1)=2`

Therefore, the slope of the graph is
`\boxed{2}`.

Question 7

The y-intercept is the y-value of the point at which the line crosses the y-axis.

From inspection of the given graph, the y-intercept is
`\boxed{5}`.

Question 8

Slope-intercept form of a linear equation:

`y=mx+b`

Where:

• m = slope
• b = y-intercept

Substitute the found slope and found y-intercept into the formula to create an equation for the line:

`\boxed{y=2x+5}`