Answer:
(-14, 0)
Step-by-step explanation:
To find the x-intercept of the line, we first need to find the equation of the line. To do this, begin by finding its slope by substituting two points from the table into the slope formula.
Let's use points (-94, 24) and (-74, 18):
[tex]\textsf{Slopt $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{18-24}{-74-(-94)}=\dfrac{-6}{20}=-0.3[/tex]
Now, substitute the slope and one of the given points into the point-slope form of a linear equation:
[tex]y-24=-0.3(x-(-94))\\\\\\y-24=-0.3(x+94)\\\\\\y-24=-0.3x-28.2\\\\\\y=-0.3x-4.2[/tex]
Therefore, the equation of the line that passes through points (-94, 24), (-74, 18) and (-54, 12) is y = -0.3x - 4.2.
The x-intercept is the point at which the line intersects the x-axis, so the value of x when y = 0. Therefore, to find the x-intercept, substitute y = 0 into the equation of the line that we previously found and solve for x:
[tex]-0.3x-4.2=0\\\\\\-0.3x=4.2\\\\\\x=\dfrac{4.2}{-0.3}\\\\\\x=-14[/tex]
Therefore, the x-intercept of the line is (-14, 0).
