3. Write an equation of a line with a slope of 3. 4. Write the same equation from #3, but in a different way 5. What is the coordinate point of the y intercept of the line y = -3x + 7?

Question 3:
The equation of a line may be written in many forms.
One of them is the slope-intercept form.
The slope-intercept form is given by
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept of the line.
For question 3,
We have slope m = 3
Since y-intercept is not given we can consider it zero (b = 0)
So the equation of the line may be written as
[tex]y=3x[/tex]Question 4:
Another way to write the equation of a line is called the point-slope form.
The point-slope form is given by
[tex](y-y_1)=m(x-x_1)[/tex]Where (x₁, y₁) is a point on the line and m is the slope.
[tex](y-y_1)=3(x-x_1)[/tex]If you substitute any point on this line into the above equation and simplify it then you will always end up with the same equation as before.
For example:
In the previous problem, we found that (1, 3) is a point on the line having the slope m = 3
[tex](y-3)=3(x-1)[/tex]Let us simplify it
[tex]\begin{gathered} y-3=3x-3 \\ y=3x-3+3 \\ y=3x \end{gathered}[/tex]Hence, we got the same equation as in question 3
Answer to question 3:
[tex]y=3x[/tex]Answer to question 4:
[tex](y-y_1)=3(x-x_1)[/tex]