Question

The graph of a linear equation has a slope of 4 and an x-intercept at (2, 0). What is the y-intercept of the graph?

Answer 1

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)`

`\implies \sf y-0=4(x-2)`

`\implies \sf y=4x-8`

Comparing the final equation with the Slope-intercept form of a linear equation, we can see that the y-intercept is -8