Answer:
It has a slope of 0.75
Step-by-step explanation:
I just did the quiz I know it is correct.
Answer:
The equation of a line in slope-intercept from with an x-intercept of 4 and a y-intercept of -3 is [tex]y=\frac{3}{4} x-3[/tex]
Solution:
Given, a line in slope-intercept from with an x-intercept of 4 and a y-intercept of -3
We have to find the line equation with above given intercept values.
We know that, line equation in intercepts form is
[tex]\frac{x}{a}+\frac{y}{b}=1[/tex]
where a, b are x, y intercepts respectively.
[tex]\text { Now, our required line is } \frac{x}{4}+\frac{y}{-3}=1 \rightarrow \frac{x}{4}-\frac{y}{3}=1[/tex]
Now our equation in slope intercept form will be [tex]\rightarrow \frac{x}{4}-\frac{y}{3}=1 \rightarrow \frac{y}{3}=\frac{x}{4}-1 \rightarrow y=\frac{3}{4} x-3[/tex]
So, we derived the equation in slope intercept form where slope =3/4 and intercept = -3
Hence, the slope intercept form the line is [tex]y=\frac{3}{4} x-3[/tex]
