Answer:
y-intercept = -8
Explanation:
Slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Given:
- slope (m) = 4
- point (x₁, y₁) = (2, 0)
Substituting the given values into the slope-point form of a linear equation:
![\sf y-y_1=m(x-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ctsq07qn11noz3tjx3mq8trdednhpgvlsx.png)
![\implies \sf y-0=4(x-2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/bu9mryq61r7hg8xd20pmsfnqrj266gtuh6.png)
![\implies \sf y=4x-8](https://img.qammunity.org/2023/formulas/mathematics/high-school/shkoiosp4m059tcwiyorplemc7e005noit.png)
Comparing the final equation with the Slope-intercept form of a linear equation, we can see that the y-intercept is -8