To find the equation of the line in slope-intercept form, we need to determine the slope and y-intercept.
Given information:
-10 on the x-line
Dot on -5 on the x-line
Dot on 4 on the y-line
Dot on 5 on the x-line
Dot on 10 on the x-line
First, let's find the slope.
The slope (m) is calculated as the change in y divided by the change in x between any two points on the line. Let's choose the points (-5, 0) and (4, 0) that lie on the x-axis.
Change in y = 0 - 0 = 0
Change in x = 4 - (-5) = 4 + 5 = 9
Slope (m) = Change in y / Change in x = 0/9 = 0
Next, let's find the y-intercept (b).
Since the line passes through the point (0, -10) on the x-axis, the y-intercept is -10.
Now we can write the equation of the line in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Substituting the values we found:
y = 0x - 10
y = -10
Therefore, the equation of the line in fully simplified slope-intercept form is y = -10.
Write the equation of the line in fully simplified slope-intercept form.
Positive line on -10 on x-line
Dot on -5 which is located on x-line
Dot on 4 which is located on y-line
Dot on 5 which is located on x-line
Dot on 10 which is located on x-line
1 answer
1 answer