Question

Use the given conditions to write an equation for the line in slope -intercept form. Slope = -3, passing through (7,4) A) y - 4 = -3x - 7 B) y=-3x - 25 C) y=-3x + 25 D) y - 4 = X-7

Answer 1

To write the equation of a line in slope-intercept form, we can use the given slope and a point on the line. Substituting the values into the equation, we find that the equation of the line is y = -3x + 25.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, which is in the form y = mx + b, where m is the slope and b is the y-intercept, we can use the given slope and a point on the line.

Given: Slope = -3, Point (7,4)

We can substitute these values into the equation to find the y-intercept:

y = mx + b

4 = -3(7) + b

4 = -21 + b

b = 25

So the equation of the line in slope-intercept form is y = -3x + 25. Therefore, the correct answer is C) y = -3x + 25.