Answer:
The y-intercept of the line that passes through the point (3, -6) and which has a slope of 4 is -18.
Step-by-step explanation:
We represent the straight line by using this formula from Analytical Geometry:
[tex]y = m\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
Now we clear the y-intercept:
[tex]b = y - m\cdot x[/tex]
If we know that [tex]x = 3[/tex], [tex]y = -6[/tex] and [tex]m = 4[/tex], the y-intercept of the line is:
[tex]b = -6 -4\cdot (3)[/tex]
[tex]b = -18[/tex]
The y-intercept of the line that passes through the point (3, -6) and which has a slope of 4 is -18.
