Respuesta :
your x-intercept is 3 and I don't know why I have to do 20 characters for an answer that involves 3 words and 1 number
Answer:
Point-Slope form:
The equation of line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
where,
m is the slope of the line and [tex](x_1, y_1)[/tex] is the point on the line.
As per the statement:
A line passes through the points (–3, –4) and (6, 2).
Using slope formula:
[tex]\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}[/tex]
then;
[tex]m = \frac{2-(-4)}{6-(-3)}=\frac{6}{9} = \frac{2}{3}[/tex]
Substitute the given values and m = 2/3 we have;
[tex]y-(-4) = \frac{2}{3}(x-(-3))[/tex]
⇒[tex]y+4 = \frac{2}{3}(x+3)[/tex]
We have to find the x-intercept of this line.
x-intercept:
Substitute y =0 and solve for x:
then;
[tex]0+4 = \frac{2}{3}(x+3)[/tex]
⇒[tex]4 = \frac{2}{3}(x+3)[/tex]
⇒[tex]2 = \frac{1}{3}(x+3)[/tex]
Multiply both sides by 3 we have;
[tex]6 = x+3[/tex]
Subtract 3 from both sides we have;
3 = x
or
x = 3
therefore, the x-intercept of this line is, 3
