Question

For question 7, type in the equation of the line in Slope-Intercept Form y=mx+b. (3,4); m=4

Answer 1

The equation of the line in Slope-Intercept Form y=mx+b, with point (3,4) and slope m=4, is y = 4x - 8.

Step-by-step explanation:

To write the equation of the line in Slope-Intercept Form y=mx+b with a point (3,4) and a slope (m) of 4, you can follow these steps:

1. Remember that the slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.
2. Since you already have the slope m = 4, you can substitute this value into the equation, which gives you y = 4x + b.
3. To find the y-intercept b, you use the given point (3,4). Plug in the coordinates into the equation for x and y: 4 = 4(3) + b.
4. Solve for b: 4 = 12 + b, which gives b = -8.
5. Now that you have both m and b, write the final equation: y = 4x - 8.

This equation represents the line that passes through the point (3,4) with a slope of 4.