Question 8: Find the equation of the straight line that: (a) has a gradient of 4 and passes through the point (1, 10)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

1) Plug the gradient into the equation (b)

We're given that the gradient of the line is 4. Plug this into as m:

2) Determine the y-intercept (b)

Plug in the given point (1,10) as (x,y) and solve for b

Subtract 4 from both sides to isolate b

Therefore, the y-intercept of the line is 6. Plug this back into as b:

I hope this helps!