Question

Write an equation for a line that contains the point (0,4) that is parallel to the

equation below.
y= -7x+1

Answer 1

y = -7x + 4

Explanation:

Given

• point = (0, 4)
• parallel to y = -7x + 1

Solving

• Slope of new line is also -7
• y - 4 = -7(x - 0)
• y - 4 = -7x
• y = -7x + 4

Answer 2

Step 1: Find the Slope

Parallel lines have the same slope, therefore the slope of our new line is also -7.

Step 2: Find the Y-Intercept

Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

Slope = -7

Point = (0, 4)

4 = -7(0) + b

b = 4

Step 3: Form the Equation of the Line

Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.

Slope-Intercept Form: y = mx + b

m = -7

b = 4

Equation of the New Line: y = -7x + 4

Answer: y = -7x + 4

Hope this helps!