Question

find the equation of a line that passes through (1,10) and is parallel to the graph of y = 4x + 5. write the equation in slope - intercept form. the equation in slope - intercept form is. (type an equation.)

Explanation:

Step1: Identify parallel line slope

Parallel lines have equal slopes. For $y=4x+5$, the slope $m=4$.

Step2: Substitute point into slope-intercept form

Use $y=mx+b$, substitute $(x,y)=(1,10)$ and $m=4$:
$10 = 4(1) + b$

Step3: Solve for y-intercept b

Calculate $4(1)=4$, then rearrange:
$b = 10 - 4 = 6$

Step4: Write final slope-intercept equation

Substitute $m=4$ and $b=6$ into $y=mx+b$.

Answer:

$y=4x+6$