Question

Write an equation in slope-intercept form of the line shown. A graph of a line. The line passes through ordered pair negative 4 comma 0 and ordered pair 1 comma negative 5. $y=$

Answer 1

y=-x-4

Step-by-step explanation:

Find the gradient then use the formula, y-y1 = m(x-x1) to find the equation.

Answer 2

To write the equation in slope-intercept form, we need to find the slope (m) and the y-intercept (b) of the line through the given points. The slope is -1 and the y-intercept is -4, so the equation is y = -x - 4.

Step-by-step explanation:

To write the equation in slope-intercept form, we need to find the slope (m) and the y-intercept (b) of the line. We can use the given points (-4, 0) and (1, -5) to find the slope:

slope (m) = (change in y)/(change in x) = (-5 - 0)/(1 - (-4)) = -5/5 = -1

Now that we know the slope, we can use one of the given points to find the y-intercept. Let's use (-4, 0):

0 = (-1)(-4) + b

b = -4

The equation in slope-intercept form is y = -x - 4.

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