Question

The graph of linear function g passes through the points (-7, -4) and (7, 6)

Answer 1

Answer:

C. The slope is 5/7, and the y-intercept is 1.

Step-by-step explanation:

You must solve the slope-intercept form with the graph of the linear function g passing through the points.

Use the slope-intercept form.

$\underline{\text{SLOPE-INTERCEPT FORM:}}$

$\Longrightarrow: \sf{y=mx+b}$

• M= slope
• B= y-intercept.

Use the slope formula.

$\underline{\text{SLOPE:}}$

$\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }$

(-7,-4) and (7,6)

• y2=6
• y1=(-4)
• x2=7
• x1=(-7)

$\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}$

Solve.

$\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}$

• Therefore, the slope is 5/7 and y-intercept is 1.
• The correct answer is C. "The slope is 5/7, and the y-intercept is 1."

I hope this helps. Let me know if you have any questions.