Answer:
The x-intercept is 4
Step-by-step explanation:
We are given;
The slope of a line as -3/4
y-intercept is 3
We are supposed to determine the x-intercept;
We need to know that;
The slope of a line is given by the ratio of the change in y to the change in x
The coordinates of y-intercept are (0, 3)
Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)
But;
slope = Δ in y ÷ Δ in x
Therefore;
[tex]\frac{0-3}{a-0}= \frac{-3}{4}[/tex]
Solving for a
[tex]-3a = -12 \\ a =4[/tex]
Therefore, the x-intercept is 4
